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22008315904 = 214192612
BaseRepresentation
bin10100011111110011…
…000100000000000000
32002210210112021202021
4110133303010000000
5330033112102104
614035510331224
71406246412211
oct243763040000
962723467667
1022008315904
119374136533
124322659b14
1320c97a4143
1410cad07408
1588c222754
hex51fcc4000

22008315904 has 135 divisors (see below), whose sum is σ = 47227830741. Its totient is φ = 10254090240.

The previous prime is 22008315853. The next prime is 22008315919. The reversal of 22008315904 is 40951380022.

The square root of 22008315904 is 148352.

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

It can be written as a sum of positive squares in only one way, i.e., 715669504 + 21292646400 = 26752^2 + 145920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22008315904.

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, 360792034 + ... + 360792094.

Almost surely, 222008315904 is an apocalyptic number.

22008315904 is the 148352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22008315904

22008315904 is an abundant number, since it is smaller than the sum of its proper divisors (25219514837).

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

22008315904 is an frugal number, since it uses more digits than its factorization.

22008315904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 22008315904 its reverse (40951380022), we get a palindrome (62959695926).

The spelling of 22008315904 in words is "twenty-two billion, eight million, three hundred fifteen thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 361 488 512 608 722 976 1024 1159 1216 1444 1952 2048 2318 2432 2888 3721 3904 4096 4636 4864 5776 7442 7808 8192 9272 9728 11552 14884 15616 16384 18544 19456 22021 23104 29768 31232 37088 38912 44042 46208 59536 62464 70699 74176 77824 88084 92416 119072 124928 141398 148352 155648 176168 184832 238144 249856 282796 296704 311296 352336 369664 476288 499712 565592 593408 704672 739328 952576 999424 1131184 1186816 1343281 1409344 1478656 1905152 2262368 2373632 2686562 2818688 2957312 3810304 4524736 4747264 5373124 5637376 5914624 7620608 9049472 9494528 10746248 11274752 15241216 18098944 18989056 21492496 22549504 30482432 36197888 42984992 45099008 60964864 72395776 85969984 90198016 144791552 171939968 180396032 289583104 343879936 360792064 579166208 687759872 1158332416 1375519744 2751039488 5502078976 11004157952 22008315904