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10221404304 = 2434123322291
BaseRepresentation
bin10011000010011111…
…00100000010010000
3222101100101010201210
421201033210002100
5131413134414204
64410132100120
7511203334356
oct114117440220
928340333653
1010221404304
114375797381
121b93164640
13c6b82a137
146cd7177d6
153ec544389
hex2613e4090

10221404304 has 80 divisors (see below), whose sum is σ = 27166636224. Its totient is φ = 3309619200.

The previous prime is 10221404299. The next prime is 10221404329. The reversal of 10221404304 is 40340412201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447399 + ... + 469689.

Almost surely, 210221404304 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 10221404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583318112).

10221404304 is an abundant number, since it is smaller than the sum of its proper divisors (16945231920).

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

10221404304 is a wasteful number, since it uses less digits than its factorization.

10221404304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22576 (or 22570 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10221404304 its reverse (40340412201), we get a palindrome (50561816505).

It can be divided in two parts, 1022 and 1404304, that added together give a triangular number (1405326 = T1676).

The spelling of 10221404304 in words is "ten billion, two hundred twenty-one million, four hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 233 246 328 466 492 656 699 932 984 1398 1864 1968 2796 3728 5592 9553 11184 19106 22291 28659 38212 44582 57318 66873 76424 89164 114636 133746 152848 178328 229272 267492 356656 458544 534984 913931 1069968 1827862 2741793 3655724 5193803 5483586 7311448 10387606 10967172 14622896 15581409 20775212 21934344 31162818 41550424 43868688 62325636 83100848 124651272 212945923 249302544 425891846 638837769 851783692 1277675538 1703567384 2555351076 3407134768 5110702152 10221404304