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331303230 = 233510112149
BaseRepresentation
bin10011101111110…
…100100100111110
3212002101221121000
4103233310210332
51134303200410
652512551130
711132013426
oct2357644476
9762357530
10331303230
11160015025
1292b524a6
135383b01b
1432001486
151e143dc0
hex13bf493e

331303230 has 64 divisors (see below), whose sum is σ = 892296000. Its totient is φ = 87465600.

The previous prime is 331303223. The next prime is 331303237. The reversal of 331303230 is 32303133.

331303230 is a `hidden beast` number, since 331 + 303 + 2 + 30 = 666.

331303230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331303223) and next prime (331303237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331303237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21196 + ... + 33344.

It is an arithmetic number, because the mean of its divisors is an integer number (13942125).

Almost surely, 2331303230 is an apocalyptic number.

331303230 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 331303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446148000).

331303230 is an abundant number, since it is smaller than the sum of its proper divisors (560992770).

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

331303230 is a wasteful number, since it uses less digits than its factorization.

331303230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12266 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 331303230 is about 18201.7370050224. The cubic root of 331303230 is about 691.9508120450.

Adding to 331303230 its reverse (32303133), we get a palindrome (363606363).

The spelling of 331303230 in words is "three hundred thirty-one million, three hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 4545 5454 9090 12149 13635 24298 27270 36447 60745 72894 109341 121490 182235 218682 328023 364470 546705 656046 1093410 1227049 1640115 2454098 3280230 3681147 6135245 7362294 11043441 12270490 18405735 22086882 33130323 36811470 55217205 66260646 110434410 165651615 331303230