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224683220552 = 23728922692
BaseRepresentation
bin1101000101000000101…
…0011101111001001000
3210110221120010012121012
43101100022131321020
512140122401024202
6251115033103052
722142600602100
oct3212012357110
9713846105535
10224683220552
118731890312a
1237665b57a88
131825903131b
14ac36368200
155ca0421152
hex345029de48

224683220552 has 108 divisors (see below), whose sum is σ = 497479134555. Its totient is φ = 94856923392.

The previous prime is 224683220549. The next prime is 224683220563. The reversal of 224683220552 is 255022386422.

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 1175529796 + 223507690756 = 34286^2 + 472766^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335174.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 835253474 + ... + 835253742.

Almost surely, 2224683220552 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 224683220552

224683220552 is an abundant number, since it is smaller than the sum of its proper divisors (272795914003).

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

224683220552 is an frugal number, since it uses more digits than its factorization.

224683220552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 224683220552 in words is "two hundred twenty-four billion, six hundred eighty-three million, two hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 269 356 392 538 623 712 1076 1246 1883 2152 2492 3766 4361 4984 7532 7921 8722 13181 15064 15842 17444 23941 26362 31684 34888 47882 52724 55447 63368 72361 95764 105448 110894 144722 167587 191528 221788 289444 335174 388129 443576 506527 578888 670348 776258 1013054 1173109 1340696 1552516 2026108 2130749 2346218 3105032 3545689 4052216 4261498 4692436 6440129 7091378 8522996 9384872 12880258 14182756 14915243 17045992 25760516 28365512 29830486 45080903 51521032 59660972 90161806 104406701 119321944 180323612 208813402 315566321 360647224 417626804 573171481 631132642 835253608 1146342962 1262265284 2292685924 2524530568 4012200367 4585371848 8024400734 16048801468 28085402569 32097602936 56170805138 112341610276 224683220552