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202253125 = 55611061
BaseRepresentation
bin11000000111000…
…10001101000101
3112002120112010111
430003202031011
5403234100000
632022553021
75004060154
oct1403421505
9462515114
10202253125
11a4191848
1257898771
1332b95a09
141cc0b59b
1512b51cba
hexc0e2345

202253125 has 24 divisors (see below), whose sum is σ = 257186664. Its totient is φ = 159000000.

The previous prime is 202253113. The next prime is 202253179. The reversal of 202253125 is 521352202.

It can be written as a sum of positive squares in 12 ways, for example, as 195524289 + 6728836 = 13983^2 + 2594^2 .

It is not a de Polignac number, because 202253125 - 227 = 68035397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202253096 and 202253105.

It is a congruent number.

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, 190095 + ... + 191155.

It is an arithmetic number, because the mean of its divisors is an integer number (10716111).

Almost surely, 2202253125 is an apocalyptic number.

202253125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202253125 is a deficient number, since it is larger than the sum of its proper divisors (54933539).

202253125 is an frugal number, since it uses more digits than its factorization.

202253125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 202253125 is about 14221.5725220525. The cubic root of 202253125 is about 586.9914113671.

The spelling of 202253125 in words is "two hundred two million, two hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 305 625 1061 1525 3125 5305 7625 26525 38125 64721 132625 190625 323605 663125 1618025 3315625 8090125 40450625 202253125