Search a number
-
+
223261657088 = 2115321972
BaseRepresentation
bin1100111111101101101…
…1101000100000000000
3210100021111012022010112
43033323123220200000
512124214441011323
6250322012050452
722062426526151
oct3177333504000
9710244168115
10223261657088
1186759426498
1237329a63a28
1318090672902
14ab3d641928
155c1a71c178
hex33fb6e8800

223261657088 has 108 divisors (see below), whose sum is σ = 457317482895. Its totient is φ = 108968624128.

The previous prime is 223261657061. The next prime is 223261657153. The reversal of 223261657088 is 880756162322.

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 221607445504 + 1654211584 = 470752^2 + 40672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334112.

It is a super-3 number, since 3×2232616570883 (a number of 35 digits) contains 333 as substring.

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, 1133307806 + ... + 1133308002.

Almost surely, 2223261657088 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 223261657088

223261657088 is an abundant number, since it is smaller than the sum of its proper divisors (234055825807).

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

223261657088 is an frugal number, since it uses more digits than its factorization.

223261657088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

Multiplying 223261657088 by its sum of digits (50), we get a square (11163082854400 = 33411202).

The spelling of 223261657088 in words is "two hundred twenty-three billion, two hundred sixty-one million, six hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 197 212 256 394 424 512 788 848 1024 1576 1696 2048 2809 3152 3392 5618 6304 6784 10441 11236 12608 13568 20882 22472 25216 27136 38809 41764 44944 50432 54272 77618 83528 89888 100864 108544 155236 167056 179776 201728 310472 334112 359552 403456 553373 620944 668224 719104 1106746 1241888 1336448 1438208 2056877 2213492 2483776 2672896 2876416 4113754 4426984 4967552 5345792 5752832 8227508 8853968 9935104 10691584 16455016 17707936 19870208 21383168 32910032 35415872 39740416 65820064 70831744 79480832 109014481 131640128 141663488 218028962 263280256 283326976 436057924 526560512 566653952 872115848 1053121024 1133307904 1744231696 2106242048 3488463392 4212484096 6976926784 13953853568 27907707136 55815414272 111630828544 223261657088