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255223520500 = 22531353817297
BaseRepresentation
bin1110110110110010000…
…0011101110011110100
3220101202222002012011111
43231230200131303310
513140144210124000
6313125325444404
724303451062334
oct3555440356364
9811688065144
10255223520500
1199270029543
1241569a10704
131b0b531b720
14c4d24590c4
15698b6c3cba
hex3b6c81dcf4

255223520500 has 96 divisors (see below), whose sum is σ = 600479556768. Its totient is φ = 94205952000.

The previous prime is 255223520491. The next prime is 255223520509. The reversal of 255223520500 is 5025322552.

It is an interprime number because it is at equal distance from previous prime (255223520491) and next prime (255223520509).

It can be written as a sum of positive squares in 16 ways, for example, as 244484758116 + 10738762384 = 494454^2 + 103628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255223520509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34972852 + ... + 34980148.

It is an arithmetic number, because the mean of its divisors is an integer number (6254995383).

Almost surely, 2255223520500 is an apocalyptic number.

255223520500 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 255223520500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300239778384).

255223520500 is an abundant number, since it is smaller than the sum of its proper divisors (345256036268).

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

255223520500 is a wasteful number, since it uses less digits than its factorization.

255223520500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The spelling of 255223520500 in words is "two hundred fifty-five billion, two hundred twenty-three million, five hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 5381 6500 7297 10762 14594 21524 26905 29188 36485 53810 69953 72970 94861 107620 134525 139906 145940 182425 189722 269050 279812 349765 364850 379444 474305 538100 672625 699530 729700 912125 948610 1345250 1399060 1748825 1824250 1897220 2371525 2690500 3497650 3648500 4743050 6995300 8744125 9486100 11857625 17488250 23715250 34976500 39265157 47430500 78530314 157060628 196325785 392651570 510447041 785303140 981628925 1020894082 1963257850 2041788164 2552235205 3926515700 4908144625 5104470410 9816289250 10208940820 12761176025 19632578500 25522352050 51044704100 63805880125 127611760250 255223520500