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331412220 = 2232511811559
BaseRepresentation
bin10011110000001…
…111001011111100
3212002121111002200
4103300033023330
51134320142340
652515151500
711132646246
oct2360171374
9762544080
10331412220
111600899a7
1292ba5590
1353878809
143202d096
151e166330
hex13c0f2fc

331412220 has 72 divisors (see below), whose sum is σ = 1006780320. Its totient is φ = 88245120.

The previous prime is 331412201. The next prime is 331412281. The reversal of 331412220 is 22214133.

331412220 is a `hidden beast` number, since 3 + 31 + 412 + 220 = 666.

331412220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 331412193 and 331412202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211801 + ... + 213359.

It is an arithmetic number, because the mean of its divisors is an integer number (13983060).

Almost surely, 2331412220 is an apocalyptic number.

331412220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331412220 is an abundant number, since it is smaller than the sum of its proper divisors (675368100).

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

331412220 is a wasteful number, since it uses less digits than its factorization.

331412220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 331412220 is about 18204.7307038583. The cubic root of 331412220 is about 692.0266815645.

Adding to 331412220 its reverse (22214133), we get a palindrome (353626353).

The spelling of 331412220 in words is "three hundred thirty-one million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1181 1559 2362 3118 3543 4677 4724 5905 6236 7086 7795 9354 10629 11810 14031 14172 15590 17715 18708 21258 23385 23620 28062 31180 35430 42516 46770 53145 56124 70155 70860 93540 106290 140310 212580 280620 1841179 3682358 5523537 7364716 9205895 11047074 16570611 18411790 22094148 27617685 33141222 36823580 55235370 66282444 82853055 110470740 165706110 331412220