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22233521120 = 255727191141
BaseRepresentation
bin10100101101001110…
…001001101111100000
32010101111021220020012
4110231032021233200
5331013240133440
614114113304052
71414652545166
oct245516115740
963344256205
1022233521120
11947a274548
124385b65028
132134344b75
14110cbab236
158a1da9e65
hex52d389be0

22233521120 has 48 divisors (see below), whose sum is σ = 52599220128. Its totient is φ = 8881128960.

The previous prime is 22233521117. The next prime is 22233521161. The reversal of 22233521120 is 2112533222.

It is a super-2 number, since 2×222335211202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20750 + ... + 211890.

It is an arithmetic number, because the mean of its divisors is an integer number (1095817086).

Almost surely, 222233521120 is an apocalyptic number.

22233521120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22233521120 is an abundant number, since it is smaller than the sum of its proper divisors (30365699008).

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

22233521120 is a wasteful number, since it uses less digits than its factorization.

22233521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191883 (or 191875 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 22233521120 in words is "twenty-two billion, two hundred thirty-three million, five hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 727 1454 2908 3635 5816 7270 11632 14540 23264 29080 58160 116320 191141 382282 764564 955705 1529128 1911410 3058256 3822820 6116512 7645640 15291280 30582560 138959507 277919014 555838028 694797535 1111676056 1389595070 2223352112 2779190140 4446704224 5558380280 11116760560 22233521120