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202252141 = 71313716223
BaseRepresentation
bin11000000111000…
…01111101101101
3112002120110210001
430003201331231
5403234032031
632022544301
75004054250
oct1403417555
9462513701
10202252141
11a4191033
1257898091
1332b95430
141cc0b097
1512b51861
hexc0e1f6d

202252141 has 16 divisors (see below), whose sum is σ = 250758144. Its totient is φ = 158845824.

The previous prime is 202252123. The next prime is 202252147. The reversal of 202252141 is 141252202.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202252141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202252147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356 + ... + 20578.

It is an arithmetic number, because the mean of its divisors is an integer number (15672384).

Almost surely, 2202252141 is an apocalyptic number.

It is an amenable number.

202252141 is a deficient number, since it is larger than the sum of its proper divisors (48506003).

202252141 is a wasteful number, since it uses less digits than its factorization.

202252141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16380.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 202252141 is about 14221.5379266801. The cubic root of 202252141 is about 586.9904594239.

It can be divided in two parts, 20225 and 2141, that added together give a triangular number (22366 = T211).

The spelling of 202252141 in words is "two hundred two million, two hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 7 13 91 137 959 1781 12467 16223 113561 210899 1476293 2222551 15557857 28893163 202252141