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23250315040 = 2552294871303
BaseRepresentation
bin10101101001110100…
…111010011100100000
32020000100120101021021
4111221310322130200
5340104040040130
614403034535224
71452110263021
oct255164723440
966010511237
1023250315040
1199512188a7
12460a597514
132266bb2084
1411a7c4ac48
159112a737a
hex569d3a720

23250315040 has 96 divisors (see below), whose sum is σ = 55324442880. Its totient is φ = 9233409024.

The previous prime is 23250315031. The next prime is 23250315059. The reversal of 23250315040 is 4051305232.

It is a junction number, because it is equal to n+sod(n) for n = 23250314996 and 23250315014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17843029 + ... + 17844331.

It is an arithmetic number, because the mean of its divisors is an integer number (576296280).

Almost surely, 223250315040 is an apocalyptic number.

23250315040 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 23250315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662221440).

23250315040 is an abundant number, since it is smaller than the sum of its proper divisors (32074127840).

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

23250315040 is a wasteful number, since it uses less digits than its factorization.

23250315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 23250315040 in words is "twenty-three billion, two hundred fifty million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 487 916 974 1145 1303 1832 1948 2290 2435 2606 3664 3896 4580 4870 5212 6515 7328 7792 9160 9740 10424 13030 15584 18320 19480 20848 26060 36640 38960 41696 52120 77920 104240 111523 208480 223046 298387 446092 557615 596774 634561 892184 1115230 1193548 1269122 1491935 1784368 2230460 2387096 2538244 2983870 3172805 3568736 4460920 4774192 5076488 5967740 6345610 8921840 9548384 10152976 11935480 12691220 17843680 20305952 23870960 25382440 47741920 50764880 101529760 145314469 290628938 581257876 726572345 1162515752 1453144690 2325031504 2906289380 4650063008 5812578760 11625157520 23250315040