Search a number
-
+
202925302272 = 2933711190639
BaseRepresentation
bin1011110011111101001…
…0100110001000000000
3201101210012202102211000
42330333102212020000
511311042334133042
6233120025252000
720442451416030
oct2747722461000
9641705672730
10202925302272
1179073052090
12333b3334000
131619c3ab874
149b708018c0
15542a1b074c
hex2f3f4a6200

202925302272 has 320 divisors, whose sum is σ = 748894924800. Its totient is φ = 52707594240.

The previous prime is 202925302243. The next prime is 202925302291. The reversal of 202925302272 is 272203529202.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969129 + ... + 1159767.

It is an arithmetic number, because the mean of its divisors is an integer number (2340296640).

Almost surely, 2202925302272 is an apocalyptic number.

202925302272 is a gapful number since it is divisible by the number (22) 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 202925302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374447462400).

202925302272 is an abundant number, since it is smaller than the sum of its proper divisors (545969622528).

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

202925302272 is a wasteful number, since it uses less digits than its factorization.

202925302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190684 (or 190662 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 202925302272 in words is "two hundred two billion, nine hundred twenty-five million, three hundred two thousand, two hundred seventy-two".