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202374972 = 223214593853
BaseRepresentation
bin11000000111111…
…11111100111100
3112002210201021100
430003333330330
5403301444342
632025333100
75005105332
oct1403777474
9462721240
10202374972
11a4265348
1257937190
1332c09307
141cc3db52
1512b77e4c
hexc0fff3c

202374972 has 36 divisors (see below), whose sum is σ = 512042440. Its totient is φ = 67394592.

The previous prime is 202374971. The next prime is 202374973. The reversal of 202374972 is 279473202.

It is an interprime number because it is at equal distance from previous prime (202374971) and next prime (202374973).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202374971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50598 + ... + 54450.

Almost surely, 2202374972 is an apocalyptic number.

It is an amenable number.

202374972 is an abundant number, since it is smaller than the sum of its proper divisors (309667468).

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

202374972 is a wasteful number, since it uses less digits than its factorization.

202374972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 202374972 is about 14225.8557563333. The cubic root of 202374972 is about 587.1092649797.

The spelling of 202374972 in words is "two hundred two million, three hundred seventy-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1459 2918 3853 4377 5836 7706 8754 11559 13131 15412 17508 23118 26262 34677 46236 52524 69354 138708 5621527 11243054 16864581 22486108 33729162 50593743 67458324 101187486 202374972