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23249540484 = 22344321972
BaseRepresentation
bin10101101001110001…
…111101010110000100
32020000022010000210000
4111221301331112010
5340103340243414
614403010201300
71452100555602
oct255161752604
966008100700
1023249540484
119950839975
12460a283230
1322669a0661
1411a7ac8872
159111a2b09
hex569c7d584

23249540484 has 135 divisors (see below), whose sum is σ = 62542692597. Its totient is φ = 7531193376.

The previous prime is 23249540423. The next prime is 23249540539. The reversal of 23249540484 is 48404594232.

The square root of 23249540484 is 152478.

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

23249540484 is a `hidden beast` number, since 2 + 3 + 24 + 9 + 540 + 4 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22779864900 + 469675584 = 150930^2 + 21672^2 .

It is a super-2 number, since 2×232495404842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 118017874 + ... + 118018070.

Almost surely, 223249540484 is an apocalyptic number.

23249540484 is the 152478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23249540484

23249540484 is an abundant number, since it is smaller than the sum of its proper divisors (39293152113).

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

23249540484 is an equidigital number, since it uses as much as digits as its factorization.

23249540484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 23249540484 in words is "twenty-three billion, two hundred forty-nine million, five hundred forty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 197 258 324 387 394 516 591 774 788 1161 1182 1548 1773 1849 2322 2364 3483 3546 3698 4644 5319 5547 6966 7092 7396 8471 10638 11094 13932 15957 16641 16942 21276 22188 25413 31914 33282 33884 38809 49923 50826 63828 66564 76239 77618 99846 101652 116427 149769 152478 155236 199692 228717 232854 299538 304956 349281 364253 457434 465708 599076 686151 698562 728506 914868 1047843 1092759 1372302 1397124 1457012 1668787 2095686 2185518 2744604 3143529 3278277 3337574 4191372 4371036 5006361 6287058 6556554 6675148 9834831 10012722 12574116 13113108 15019083 19669662 20025444 29504493 30038166 39339324 45057249 59008986 60076332 71757841 90114498 118017972 135171747 143515682 180228996 215273523 270343494 287031364 430547046 540686988 645820569 861094092 1291641138 1937461707 2583282276 3874923414 5812385121 7749846828 11624770242 23249540484