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214432100 = 225219112859
BaseRepresentation
bin11001100011111…
…11100101100100
3112221111021112122
430301333211210
5414343311400
633140005112
75212433321
oct1461774544
9487437478
10214432100
11100050013
125b990798
133556b2cc
142069bb48
1513c5a685
hexcc7f964

214432100 has 36 divisors (see below), whose sum is σ = 489812400. Its totient is φ = 81257760.

The previous prime is 214432079. The next prime is 214432129. The reversal of 214432100 is 1234412.

It is a super-2 number, since 2×2144321002 = 91962251020820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54530 + ... + 58329.

It is an arithmetic number, because the mean of its divisors is an integer number (13605900).

Almost surely, 2214432100 is an apocalyptic number.

214432100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214432100 is an abundant number, since it is smaller than the sum of its proper divisors (275380300).

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

214432100 is a wasteful number, since it uses less digits than its factorization.

214432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112892 (or 112885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214432100 is about 14643.5002646225. The cubic root of 214432100 is about 598.5447138315.

Adding to 214432100 its reverse (1234412), we get a palindrome (215666512).

The spelling of 214432100 in words is "two hundred fourteen million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 112859 225718 451436 564295 1128590 2144321 2257180 2821475 4288642 5642950 8577284 10721605 11285900 21443210 42886420 53608025 107216050 214432100