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22755271112 = 23721924012
BaseRepresentation
bin10101001100010100…
…011110000111001000
32011201212001112122222
4111030110132013020
5333100322133422
614241552233212
71433616420200
oct251424360710
964655045588
1022755271112
119717836a92
1244b083b808
1321b8473a82
14115c1c5400
158d2abc842
hex54c51e1c8

22755271112 has 108 divisors (see below), whose sum is σ = 52512683265. Its totient is φ = 9215942400.

The previous prime is 22755271111. The next prime is 22755271159. The reversal of 22755271112 is 21117255722.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13636167076 + 9119104036 = 116774^2 + 95494^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106666.

It is not an unprimeable number, because it can be changed into a prime (22755271111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56746112 + ... + 56746512.

Almost surely, 222755271112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22755271112

22755271112 is an abundant number, since it is smaller than the sum of its proper divisors (29757412153).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22755271112 is an equidigital number, since it uses as much as digits as its factorization.

22755271112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 429 counting only the distinct ones).

The product of its digits is 19600, while the sum is 35.

The spelling of 22755271112 in words is "twenty-two billion, seven hundred fifty-five million, two hundred seventy-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 401 532 722 802 931 1064 1444 1604 1862 2527 2807 2888 3208 3724 5054 5614 7448 7619 10108 11228 15238 17689 19649 20216 22456 30476 35378 39298 53333 60952 70756 78596 106666 141512 144761 157192 160801 213332 289522 321602 373331 426664 579044 643204 746662 1013327 1125607 1158088 1286408 1493324 2026654 2251214 2986648 3055219 4053308 4502428 6110438 7093289 7879249 8106616 9004856 12220876 14186578 15758498 21386533 24441752 28373156 31516996 42773066 56746312 58049161 63033992 85546132 116098322 149705731 171092264 232196644 299411462 406344127 464393288 598822924 812688254 1197645848 1625376508 2844408889 3250753016 5688817778 11377635556 22755271112