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3113402220 = 2232552133199
BaseRepresentation
bin1011100110010010…
…1011111101101100
322000222102012221100
42321210223331230
522334012332340
61232535003100
7140103324255
oct27144537554
98028365840
103113402220
111358486195
1272a809490
133a803b346
142176c5b2c
151334e4830
hexb992bf6c

3113402220 has 72 divisors (see below), whose sum is σ = 9462398400. Its totient is φ = 828622080.

The previous prime is 3113402197. The next prime is 3113402221. The reversal of 3113402220 is 222043113.

3113402220 is a `hidden beast` number, since 31 + 13 + 402 + 220 = 666.

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 = 3113402193 and 3113402202.

It is not an unprimeable number, because it can be changed into a prime (3113402221) 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 23 ways as a sum of consecutive naturals, for example, 77181 + ... + 110379.

It is an arithmetic number, because the mean of its divisors is an integer number (131422200).

Almost surely, 23113402220 is an apocalyptic number.

3113402220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731199200).

3113402220 is an abundant number, since it is smaller than the sum of its proper divisors (6348996180).

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

3113402220 is a wasteful number, since it uses less digits than its factorization.

3113402220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33735 (or 33730 counting only the distinct ones).

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

The square root of 3113402220 is about 55797.8693141593. The cubic root of 3113402220 is about 1460.1979809082.

Adding to 3113402220 its reverse (222043113), we get a palindrome (3335445333).

The spelling of 3113402220 in words is "three billion, one hundred thirteen million, four hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 521 1042 1563 2084 2605 3126 4689 5210 6252 7815 9378 10420 15630 18756 23445 31260 33199 46890 66398 93780 99597 132796 165995 199194 298791 331990 398388 497985 597582 663980 995970 1195164 1493955 1991940 2987910 5975820 17296679 34593358 51890037 69186716 86483395 103780074 155670111 172966790 207560148 259450185 311340222 345933580 518900370 622680444 778350555 1037800740 1556701110 3113402220