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210233120 = 2551313957
BaseRepresentation
bin11001000011111…
…10011100100000
3112122120221121212
430201332130200
5412304424440
632510005252
75131644356
oct1441763440
9478527555
10210233120
11a8742289
125a4a6828
133472acc6
141dcc77d6
15136cb465
hexc87e720

210233120 has 24 divisors (see below), whose sum is σ = 496676124. Its totient is φ = 84093184.

The previous prime is 210233113. The next prime is 210233137. The reversal of 210233120 is 21332012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179452816 + 30780304 = 13396^2 + 5548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210233095 and 210233104.

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 3 ways as a sum of consecutive naturals, for example, 656819 + ... + 657138.

Almost surely, 2210233120 is an apocalyptic number.

210233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210233120 is an abundant number, since it is smaller than the sum of its proper divisors (286443004).

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

210233120 is a wasteful number, since it uses less digits than its factorization.

210233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313972 (or 1313964 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 210233120 is about 14499.4179193511. The cubic root of 210233120 is about 594.6120579221.

Adding to 210233120 its reverse (21332012), we get a palindrome (231565132).

The spelling of 210233120 in words is "two hundred ten million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1313957 2627914 5255828 6569785 10511656 13139570 21023312 26279140 42046624 52558280 105116560 210233120