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332889150 = 235211218341
BaseRepresentation
bin10011110101110…
…111110000111110
3212012101112001210
4103311313300332
51140204423100
653010545250
711151340206
oct2365676076
9765345053
10332889150
111609a8600
1293598226
1353c74b39
14322d5406
151e358c50
hex13d77c3e

332889150 has 72 divisors (see below), whose sum is σ = 907488792. Its totient is φ = 80696000.

The previous prime is 332889149. The next prime is 332889157. The reversal of 332889150 is 51988233.

It is a super-2 number, since 2×3328891502 = 221630372375445000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332889099 and 332889108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332889157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8980 + ... + 27320.

It is an arithmetic number, because the mean of its divisors is an integer number (12604011).

Almost surely, 2332889150 is an apocalyptic number.

332889150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332889150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453744396).

332889150 is an abundant number, since it is smaller than the sum of its proper divisors (574599642).

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

332889150 is a wasteful number, since it uses less digits than its factorization.

332889150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18378 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 332889150 is about 18245.2500667982. The cubic root of 332889150 is about 693.0531579279.

The spelling of 332889150 in words is "three hundred thirty-two million, eight hundred eighty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 3025 3630 6050 9075 18150 18341 36682 55023 91705 110046 183410 201751 275115 403502 458525 550230 605253 917050 1008755 1210506 1375575 2017510 2219261 2751150 3026265 4438522 5043775 6052530 6657783 10087550 11096305 13315566 15131325 22192610 30262650 33288915 55481525 66577830 110963050 166444575 332889150