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23894446240 = 2557222913309
BaseRepresentation
bin10110010000001110…
…000101000010100000
32021200020121122011101
4112100032011002200
5342413434234430
614551004524144
71504061304400
oct262016050240
967606548141
1023894446240
11a151879135
12476a250654
13233a48c9b2
141229600800
1594cae0dca
hex5903850a0

23894446240 has 144 divisors (see below), whose sum is σ = 65958769800. Its totient is φ = 8155994112.

The previous prime is 23894446229. The next prime is 23894446273. The reversal of 23894446240 is 4264449832.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17296458256 + 6597987984 = 131516^2 + 81228^2 .

It is a super-2 number, since 2×238944462402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1788706 + ... + 1802014.

Almost surely, 223894446240 is an apocalyptic number.

23894446240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23894446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32979384900).

23894446240 is an abundant number, since it is smaller than the sum of its proper divisors (42064323560).

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

23894446240 is a wasteful number, since it uses less digits than its factorization.

23894446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13567 (or 13552 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 23894446240 in words is "twenty-three billion, eight hundred ninety-four million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 229 245 280 392 458 490 560 784 916 980 1120 1145 1568 1603 1832 1960 2290 3206 3664 3920 4580 6412 7328 7840 8015 9160 11221 12824 13309 16030 18320 22442 25648 26618 32060 36640 44884 51296 53236 56105 64120 66545 89768 93163 106472 112210 128240 133090 179536 186326 212944 224420 256480 266180 359072 372652 425888 448840 465815 532360 652141 745304 897680 931630 1064720 1304282 1490608 1795360 1863260 2129440 2608564 2981216 3047761 3260705 3726520 5217128 6095522 6521410 7453040 10434256 12191044 13042820 14906080 15238805 20868512 21334327 24382088 26085640 30477610 42668654 48764176 52171280 60955220 85337308 97528352 104342560 106671635 121910440 149340289 170674616 213343270 243820880 298680578 341349232 426686540 487641760 597361156 682698464 746701445 853373080 1194722312 1493402890 1706746160 2389444624 2986805780 3413492320 4778889248 5973611560 11947223120 23894446240