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22091927042025 = 345214927012
BaseRepresentation
bin1010000010111101011010…
…11101101011011111101001
32220012222010101020221110000
411001132231131223133221
510343423231310321100
6114552520254413213
74440042355341561
oct501365535533751
986188111227400
1022091927042025
117048151975125
122589691801209
13c4334b97b719
1456537d911da1
152849dd490900
hex1417ad76b7e9

22091927042025 has 135 divisors (see below), whose sum is σ = 41257227067903. Its totient is φ = 11686589712000.

The previous prime is 22091927041997. The next prime is 22091927042041. The reversal of 22091927042025 is 52024072919022.

The square root of 22091927042025 is 4700205.

It is a perfect power (a square), and thus also a powerful number.

22091927042025 is a `hidden beast` number, since 2 + 209 + 19 + 2 + 7 + 0 + 420 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 14782279421529 + 7309647620496 = 3844773^2 + 2703636^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 22091927042025 - 219 = 22091926517737 is a prime.

It is a super-2 number, since 2×220919270420252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31514874175 + ... + 31514874875.

Almost surely, 222091927042025 is an apocalyptic number.

22091927042025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22091927042025 is the 4700205-th square number.

22091927042025 is the 2350103-rd centered octagonal number.

It is an amenable number.

22091927042025 is a deficient number, since it is larger than the sum of its proper divisors (19165300025878).

22091927042025 is an frugal number, since it uses more digits than its factorization.

22091927042025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22091927042025 in words is "twenty-two trillion, ninety-one billion, nine hundred twenty-seven million, forty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 149 225 405 447 675 701 745 1341 2025 2103 2235 3505 3725 4023 6309 6705 10515 11175 12069 17525 18927 20115 22201 31545 33525 52575 56781 60345 66603 94635 100575 104449 111005 157725 199809 283905 301725 313347 333015 473175 491401 522245 555025 599427 940041 999045 1419525 1474203 1566735 1665075 1798281 2457005 2611225 2820123 2997135 4422609 4700205 4995225 7371015 7833675 8460369 8991405 12285025 13267827 14100615 14985675 15562901 22113045 23501025 36855075 39803481 42301845 44957025 46688703 66339135 70503075 73218749 77814505 110565225 140066109 199017405 211509225 219656247 233443515 331695675 366093745 389072525 420198327 658968741 700330545 995087025 1098281235 1167217575 1260594981 1830468725 1976906223 2100991635 3294843705 3501652725 5491406175 5930718669 6302974905 9884531115 10504958175 10909593601 16474218525 29653593345 31514874525 32728780803 49422655575 54547968005 98186342409 148267966725 163643904015 272739840025 294559027227 490931712045 818219520075 883677081681 1472795136135 2454658560225 4418385408405 7363975680675 22091927042025