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214057020 = 223513726041
BaseRepresentation
bin11001100001001…
…00000000111100
3112220210020000210
430300210000330
5414244311040
633123552420
75206311642
oct1460440074
9486706023
10214057020
11aa914231
125b82b710
1335469678
1420601192
1513bd4480
hexcc2403c

214057020 has 48 divisors (see below), whose sum is σ = 603757728. Its totient is φ = 56663040.

The previous prime is 214057007. The next prime is 214057037. The reversal of 214057020 is 20750412.

It is a super-2 number, since 2×2140570202 = 91640815622560800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4801 + ... + 21240.

It is an arithmetic number, because the mean of its divisors is an integer number (12578286).

Almost surely, 2214057020 is an apocalyptic number.

214057020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214057020 is an abundant number, since it is smaller than the sum of its proper divisors (389700708).

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

214057020 is a wasteful number, since it uses less digits than its factorization.

214057020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26190 (or 26188 counting only the distinct ones).

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

The square root of 214057020 is about 14630.6876120024. The cubic root of 214057020 is about 598.1955229894.

The spelling of 214057020 in words is "two hundred fourteen million, fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 26041 52082 78123 104164 130205 156246 260410 312492 390615 520820 781230 1562460 3567617 7135234 10702851 14270468 17838085 21405702 35676170 42811404 53514255 71352340 107028510 214057020