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220930081024 = 2829210132
BaseRepresentation
bin1100110111000001110…
…1011000000100000000
3210010020222220222001111
43031300131120010000
512104431100043044
6245254402213104
721650565463252
oct3156035300400
9703228828044
10220930081024
11857722a8924
1236999054194
1317aab5c32c3
14a99bb13cd2
155b30baeb34
hex3370758100

220930081024 has 81 divisors (see below), whose sum is σ = 457179636823. Its totient is φ = 106550614016.

The previous prime is 220930081013. The next prime is 220930081049. The reversal of 220930081024 is 420180039022.

The square root of 220930081024 is 470032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 95308038400 + 125622042624 = 308720^2 + 354432^2 .

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, 218094342 + ... + 218095354.

Almost surely, 2220930081024 is an apocalyptic number.

220930081024 is the 470032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220930081024

220930081024 is an abundant number, since it is smaller than the sum of its proper divisors (236249555799).

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

220930081024 is an frugal number, since it uses more digits than its factorization.

220930081024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 220930081024 in words is "two hundred twenty billion, nine hundred thirty million, eighty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1013 1682 1856 2026 3364 3712 4052 6728 7424 8104 13456 16208 26912 29377 32416 53824 58754 64832 107648 117508 129664 215296 235016 259328 470032 851933 940064 1026169 1703866 1880128 2052338 3407732 3760256 4104676 6815464 7520512 8209352 13630928 16418704 27261856 29758901 32837408 54523712 59517802 65674816 109047424 119035604 131349632 218094848 238071208 262699264 476142416 863008129 952284832 1726016258 1904569664 3452032516 3809139328 6904065032 7618278656 13808130064 27616260128 55232520256 110465040512 220930081024