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202157020 = 225132812767
BaseRepresentation
bin11000000110010…
…10101111011100
3112002101122022001
430003022233130
5403223011040
632020532044
75003210032
oct1403125734
9462348261
10202157020
11a412661a
1257851024
1332b61050
141cbc4552
1512b3359a
hexc0cabdc

202157020 has 48 divisors (see below), whose sum is σ = 458978688. Its totient is φ = 74350080.

The previous prime is 202157009. The next prime is 202157029. The reversal of 202157020 is 20751202.

202157020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202157029) 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, 71677 + ... + 74443.

It is an arithmetic number, because the mean of its divisors is an integer number (9562056).

Almost surely, 2202157020 is an apocalyptic number.

202157020 is a gapful number since it is divisible by the number (20) 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 202157020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229489344).

202157020 is an abundant number, since it is smaller than the sum of its proper divisors (256821668).

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

202157020 is a wasteful number, since it uses less digits than its factorization.

202157020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 202157020 is about 14218.1932748152. The cubic root of 202157020 is about 586.8984226973.

The spelling of 202157020 in words is "two hundred two million, one hundred fifty-seven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 281 562 1124 1405 2767 2810 3653 5534 5620 7306 11068 13835 14612 18265 27670 35971 36530 55340 71942 73060 143884 179855 359710 719420 777527 1555054 3110108 3887635 7775270 10107851 15550540 20215702 40431404 50539255 101078510 202157020