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202141038 = 231119331487
BaseRepresentation
bin11000000110001…
…10110101101110
3112002100211101010
430003012311232
5403222003123
632020330050
75003112321
oct1403066556
9462324333
10202141038
11a4115610
1257843926
1332b569a8
141cbbc7b8
1512b2d993
hexc0c6d6e

202141038 has 64 divisors (see below), whose sum is σ = 466606080. Its totient is φ = 57736800.

The previous prime is 202140977. The next prime is 202141039. The reversal of 202141038 is 830141202.

202141038 is digitally balanced in base 2, because in such base 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 (202141039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414831 + ... + 415317.

It is an arithmetic number, because the mean of its divisors is an integer number (7290720).

Almost surely, 2202141038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202141038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233303040).

202141038 is an abundant number, since it is smaller than the sum of its proper divisors (264465042).

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

202141038 is a wasteful number, since it uses less digits than its factorization.

202141038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 202141038 is about 14217.6312373053. The cubic root of 202141038 is about 586.8829560767.

The spelling of 202141038 in words is "two hundred two million, one hundred forty-one thousand, thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 331 418 487 627 662 974 993 1254 1461 1986 2922 3641 5357 6289 7282 9253 10714 10923 12578 16071 18506 18867 21846 27759 32142 37734 55518 69179 101783 138358 161197 203566 207537 305349 322394 415074 483591 610698 967182 1773167 3062743 3546334 5319501 6125486 9188229 10639002 18376458 33690173 67380346 101070519 202141038