Search a number
-
+
2302110120 = 233553361967
BaseRepresentation
bin1000100100110111…
…0110100110101000
312221102211022101210
42021031312212220
514203320010440
61020234113120
7111022420212
oct21115664650
95842738353
102302110120
11a81532452
12542b7b7a0
132a8c3374b
1417ba5b5b2
15d718ba80
hex893769a8

2302110120 has 64 divisors (see below), whose sum is σ = 7036657920. Its totient is φ = 602311424.

The previous prime is 2302110119. The next prime is 2302110157. The reversal of 2302110120 is 210112032.

It is a super-2 number, since 2×23021101202 = 10599422009212828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2302110096 and 2302110105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174624 + ... + 187343.

It is an arithmetic number, because the mean of its divisors is an integer number (109947780).

Almost surely, 22302110120 is an apocalyptic number.

2302110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2302110120 is an abundant number, since it is smaller than the sum of its proper divisors (4734547800).

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

2302110120 is a wasteful number, since it uses less digits than its factorization.

2302110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362034 (or 362030 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2302110120 is about 47980.3097113806. The cubic root of 2302110120 is about 1320.4096754111.

Adding to 2302110120 its reverse (210112032), we get a palindrome (2512222152).

The spelling of 2302110120 in words is "two billion, three hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 361967 723934 1085901 1447868 1809835 2171802 2895736 3619670 4343604 5429505 7239340 8687208 10859010 14478680 19184251 21718020 38368502 43436040 57552753 76737004 95921255 115105506 153474008 191842510 230211012 287763765 383685020 460422024 575527530 767370040 1151055060 2302110120