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202057401 = 37132233319
BaseRepresentation
bin11000000101100…
…10011010111001
3112002012120122110
430002302122321
5403211314101
632014442533
75002313430
oct1402623271
9462176573
10202057401
11a4068797
1257803449
1332b278c0
141cb9a117
1512b13cd6
hexc0b26b9

202057401 has 32 divisors (see below), whose sum is σ = 333168640. Its totient is φ = 106069824.

The previous prime is 202057399. The next prime is 202057403. The reversal of 202057401 is 104750202.

It is an interprime number because it is at equal distance from previous prime (202057399) and next prime (202057403).

It is not a de Polignac number, because 202057401 - 21 = 202057399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (202057403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59220 + ... + 62538.

It is an arithmetic number, because the mean of its divisors is an integer number (10411520).

Almost surely, 2202057401 is an apocalyptic number.

202057401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202057401 is a deficient number, since it is larger than the sum of its proper divisors (131111239).

202057401 is a wasteful number, since it uses less digits than its factorization.

202057401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 202057401 is about 14214.6896202485. The cubic root of 202057401 is about 586.8020028611.

The spelling of 202057401 in words is "two hundred two million, fifty-seven thousand, four hundred one".

Divisors: 1 3 7 13 21 39 91 223 273 669 1561 2899 3319 4683 8697 9957 20293 23233 43147 60879 69699 129441 302029 740137 906087 2220411 5180959 9621781 15542877 28865343 67352467 202057401