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202252525 = 5229318999
BaseRepresentation
bin11000000111000…
…10000011101101
3112002120111022021
430003202003231
5403234040100
632022550141
75004055336
oct1403420355
9462514267
10202252525
11a4191352
1257898351
1332b95667
141cc0b28d
1512b51a1a
hexc0e20ed

202252525 has 24 divisors (see below), whose sum is σ = 267840000. Its totient is φ = 151166400.

The previous prime is 202252507. The next prime is 202252579. The reversal of 202252525 is 525252202.

It is not a de Polignac number, because 202252525 - 213 = 202244333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 202252525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17976 + ... + 26974.

It is an arithmetic number, because the mean of its divisors is an integer number (11160000).

Almost surely, 2202252525 is an apocalyptic number.

202252525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202252525 is a deficient number, since it is larger than the sum of its proper divisors (65587475).

202252525 is a wasteful number, since it uses less digits than its factorization.

202252525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 202252525 is about 14221.5514273233. The cubic root of 202252525 is about 586.9908309143.

It can be divided in two parts, 202 and 252525, that multiplied together give a triangular number (51010050 = T10100).

The spelling of 202252525 in words is "two hundred two million, two hundred fifty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 29 31 145 155 725 775 899 4495 8999 22475 44995 224975 260971 278969 1304855 1394845 6524275 6974225 8090101 40450505 202252525