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22580675072 = 292922292
BaseRepresentation
bin10101000001111010…
…011100001000000000
32011021200112010220222
4111001322130020000
5332221123100242
614212354122212
71426366366634
oct250172341000
964250463828
1022580675072
11963822543a
124462280368
13218b2427c7
141142d36dc4
158c25d05d2
hex541e9c200

22580675072 has 90 divisors (see below), whose sum is σ = 46931599143. Its totient is φ = 10853412864.

The previous prime is 22580675023. The next prime is 22580675081. The reversal of 22580675072 is 27057608522.

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 5 ways, for example, as 21297316096 + 1283358976 = 145936^2 + 35824^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106256.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98605454 + ... + 98605682.

Almost surely, 222580675072 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 22580675072

22580675072 is an abundant number, since it is smaller than the sum of its proper divisors (24350924071).

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

22580675072 is an frugal number, since it uses more digits than its factorization.

22580675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 22580675072 in words is "twenty-two billion, five hundred eighty million, six hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 229 232 256 458 464 512 841 916 928 1682 1832 1856 3364 3664 3712 6641 6728 7328 7424 13282 13456 14656 14848 26564 26912 29312 52441 53128 53824 58624 104882 106256 107648 117248 192589 209764 212512 215296 385178 419528 425024 430592 770356 839056 850048 1520789 1540712 1678112 1700096 3041578 3081424 3356224 3400192 6083156 6162848 6712448 12166312 12325696 13424896 24332624 24651392 26849792 44102881 48665248 49302784 88205762 97330496 98605568 176411524 194660992 352823048 389321984 705646096 778643968 1411292192 2822584384 5645168768 11290337536 22580675072