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232015120 = 2452900189
BaseRepresentation
bin11011101010001…
…00010100010000
3121011120120220121
431311010110100
5433343440440
635004520024
75515044631
oct1565042420
9534516817
10232015120
11109a6a437
1265850014
13390b656c
1422b57888
151558034a
hexdd44510

232015120 has 20 divisors (see below), whose sum is σ = 539435340. Its totient is φ = 92806016.

The previous prime is 232015093. The next prime is 232015139. The reversal of 232015120 is 21510232.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 147962896 = 9168^2 + 12164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2320151202 = 107662031817228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 232015094 and 232015103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1450015 + ... + 1450174.

It is an arithmetic number, because the mean of its divisors is an integer number (26971767).

Almost surely, 2232015120 is an apocalyptic number.

232015120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232015120 is an abundant number, since it is smaller than the sum of its proper divisors (307420220).

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

232015120 is a wasteful number, since it uses less digits than its factorization.

232015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900202 (or 2900196 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 232015120 is about 15232.0425419574. The cubic root of 232015120 is about 614.4767135341.

Adding to 232015120 its reverse (21510232), we get a palindrome (253525352).

The spelling of 232015120 in words is "two hundred thirty-two million, fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2900189 5800378 11600756 14500945 23201512 29001890 46403024 58003780 116007560 232015120