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221080581152 = 2543219332
BaseRepresentation
bin1100110111100101101…
…1011111010000100000
3210010122111010011102022
43031321123133100200
512110233112044102
6245321340041012
721654403635164
oct3157133372040
9703574104368
10221080581152
118583a2518a2
1236a1b533168
1317b03838a32
14a9b3accca4
155b3dedc5a2
hex33796df420

221080581152 has 54 divisors (see below), whose sum is σ = 445840588557. Its totient is φ = 107913730176.

The previous prime is 221080581143. The next prime is 221080581157. The reversal of 221080581152 is 251185080122.

It is a happy number.

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 2 ways, for example, as 213595562896 + 7485018256 = 462164^2 + 86516^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332476.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221080581157) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114370778 + ... + 114372710.

Almost surely, 2221080581152 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 221080581152

221080581152 is an abundant number, since it is smaller than the sum of its proper divisors (224760007405).

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

221080581152 is an frugal number, since it uses more digits than its factorization.

221080581152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The spelling of 221080581152 in words is "two hundred twenty-one billion, eighty million, five hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1849 1933 3698 3866 7396 7732 14792 15464 29584 30928 59168 61856 83119 166238 332476 664952 1329904 2659808 3574117 3736489 7148234 7472978 14296468 14945956 28592936 29891912 57185872 59783824 114371744 119567648 160669027 321338054 642676108 1285352216 2570704432 5141408864 6908768161 13817536322 27635072644 55270145288 110540290576 221080581152