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214156940 = 22541261167
BaseRepresentation
bin11001100001111…
…00011010001100
3112220222022002112
430300330122030
5414311010230
633130043152
75210206154
oct1460743214
9486868075
10214156940
11aa982308
125b8794b8
13354a2caa
1420629764
1513c03d95
hexcc3c68c

214156940 has 24 divisors (see below), whose sum is σ = 460700352. Its totient is φ = 83573120.

The previous prime is 214156919. The next prime is 214156951. The reversal of 214156940 is 49651412.

It is a junction number, because it is equal to n+sod(n) for n = 214156897 and 214156906.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 129764 + ... + 131403.

It is an arithmetic number, because the mean of its divisors is an integer number (19195848).

Almost surely, 2214156940 is an apocalyptic number.

214156940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214156940 is an abundant number, since it is smaller than the sum of its proper divisors (246543412).

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

214156940 is a wasteful number, since it uses less digits than its factorization.

214156940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261217 (or 261215 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 214156940 is about 14634.1019539977. The cubic root of 214156940 is about 598.2885860414.

The spelling of 214156940 in words is "two hundred fourteen million, one hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 261167 522334 1044668 1305835 2611670 5223340 10707847 21415694 42831388 53539235 107078470 214156940