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22552425120 = 253567701257
BaseRepresentation
bin10101000000001110…
…101011001010100000
32011012201100220021110
4111000032223022200
5332141410100440
614205504423320
71425604310361
oct250016531240
964181326243
1022552425120
11962328a875
124454917b40
132185431264
14113d2a1b68
158beda0080
hex5403ab2a0

22552425120 has 96 divisors (see below), whose sum is σ = 72100542528. Its totient is φ = 5924210688.

The previous prime is 22552425067. The next prime is 22552425209. The reversal of 22552425120 is 2152425522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×225524251202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318469 + ... + 382788.

It is an arithmetic number, because the mean of its divisors is an integer number (751047318).

Almost surely, 222552425120 is an apocalyptic number.

22552425120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22552425120 is an abundant number, since it is smaller than the sum of its proper divisors (49548117408).

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

22552425120 is a wasteful number, since it uses less digits than its factorization.

22552425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701342 (or 701334 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 22552425120 in words is "twenty-two billion, five hundred fifty-two million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 32160 701257 1402514 2103771 2805028 3506285 4207542 5610056 7012570 8415084 10518855 11220112 14025140 16830168 21037710 22440224 28050280 33660336 42075420 46984219 56100560 67320672 84150840 93968438 112201120 140952657 168301680 187936876 234921095 281905314 336603360 375873752 469842190 563810628 704763285 751747504 939684380 1127621256 1409526570 1503495008 1879368760 2255242512 2819053140 3758737520 4510485024 5638106280 7517475040 11276212560 22552425120