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331993230 = 23537349857
BaseRepresentation
bin10011110010011…
…101000010001110
3212010201000002120
4103302131002032
51134442240410
652535433410
711140616202
oct2362350216
9763630076
10331993230
11160446478
1293225866
1353a200ca
1432140b02
151e22d570
hex13c9d08e

331993230 has 64 divisors (see below), whose sum is σ = 821620800. Its totient is φ = 85791744.

The previous prime is 331993163. The next prime is 331993253. The reversal of 331993230 is 32399133.

It is a happy number.

It is a super-3 number, since 3×3319932303 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 331993191 and 331993200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386962 + ... + 387818.

It is an arithmetic number, because the mean of its divisors is an integer number (12837825).

Almost surely, 2331993230 is an apocalyptic number.

331993230 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 331993230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410810400).

331993230 is an abundant number, since it is smaller than the sum of its proper divisors (489627570).

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

331993230 is a wasteful number, since it uses less digits than its factorization.

331993230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253.

The product of its (nonzero) digits is 13122, while the sum is 33.

The square root of 331993230 is about 18220.6813813315. The cubic root of 331993230 is about 692.4308506155.

The spelling of 331993230 in words is "three hundred thirty-one million, nine hundred ninety-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 349 370 555 698 857 1047 1110 1714 1745 2094 2571 3490 4285 5142 5235 8570 10470 12855 12913 25710 25826 31709 38739 63418 64565 77478 95127 129130 158545 190254 193695 299093 317090 387390 475635 598186 897279 951270 1495465 1794558 2990930 4486395 8972790 11066441 22132882 33199323 55332205 66398646 110664410 165996615 331993230