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22670893056 = 21337131783
BaseRepresentation
bin10101000111010010…
…100110000000000000
32011111222021200201210
4111013102212000000
5332412222034211
614225335530120
71431543261060
oct250722460000
964458250653
1022670893056
119684145559
124488529940
1321a3b3ca26
141150cdd3a0
158ca4a19a6
hex5474a6000

22670893056 has 112 divisors (see below), whose sum is σ = 69088552704. Its totient is φ = 6477348864.

The previous prime is 22670893013. The next prime is 22670893079. The reversal of 22670893056 is 65039807622.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 22670892996 and 22670893014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106141 + ... + 237923.

Almost surely, 222670893056 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 22670893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34544276352).

22670893056 is an abundant number, since it is smaller than the sum of its proper divisors (46417659648).

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

22670893056 is an equidigital number, since it uses as much as digits as its factorization.

22670893056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131819 (or 131795 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 22670893056 in words is "twenty-two billion, six hundred seventy million, eight hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 21504 24576 28672 43008 57344 86016 131783 172032 263566 395349 527132 790698 922481 1054264 1581396 1844962 2108528 2767443 3162792 3689924 4217056 5534886 6325584 7379848 8434112 11069772 12651168 14759696 16868224 22139544 25302336 29519392 33736448 44279088 50604672 59038784 67472896 88558176 101209344 118077568 134945792 177116352 202418688 236155136 269891584 354232704 404837376 472310272 539783168 708465408 809674752 944620544 1079566336 1416930816 1619349504 1889241088 2833861632 3238699008 3778482176 5667723264 7556964352 11335446528 22670893056