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22869907984 = 24721124912
BaseRepresentation
bin10101010011001001…
…110001101000010000
32012000211202200220001
4111103021301220100
5333314144023414
614301205255344
71436511003400
oct252311615020
965024680801
1022869907984
119776515400
124523104554
132206140841
14116d506800
158dcbb4074
hex553271a10

22869907984 has 135 divisors (see below), whose sum is σ = 56772312303. Its totient is φ = 8892206400.

The previous prime is 22869907969. The next prime is 22869907997. The reversal of 22869907984 is 48970996822.

The square root of 22869907984 is 151228.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46577979 + ... + 46578469.

Almost surely, 222869907984 is an apocalyptic number.

22869907984 is the 151228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22869907984

22869907984 is an abundant number, since it is smaller than the sum of its proper divisors (33902404319).

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

22869907984 is an equidigital number, since it uses as much as digits as its factorization.

22869907984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

Multiplying 22869907984 by its sum of digits (64), we get a square (1463674110976 = 12098242).

The spelling of 22869907984 in words is "twenty-two billion, eight hundred sixty-nine million, nine hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 491 539 616 784 847 968 982 1078 1232 1694 1936 1964 2156 3388 3437 3928 4312 5401 5929 6776 6874 7856 8624 10802 11858 13552 13748 21604 23716 24059 27496 37807 43208 47432 48118 54992 59411 75614 86416 94864 96236 118822 151228 192472 237644 241081 264649 302456 384944 415877 475288 482162 529298 604912 831754 950576 964324 1058596 1663508 1687567 1928648 2117192 2651891 2911139 3327016 3375134 3857296 4234384 5303782 5822278 6654032 6750268 10607564 11644556 11812969 13500536 18563237 21215128 23289112 23625938 27001072 29170801 37126474 42430256 46578224 47251876 58341602 74252948 94503752 116683204 129942659 148505896 189007504 204195607 233366408 259885318 297011792 408391214 466732816 519770636 816782428 1039541272 1429369249 1633564856 2079082544 2858738498 3267129712 5717476996 11434953992 22869907984