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2232002120 = 2351491971901
BaseRepresentation
bin1000010100001001…
…1010011001001000
312202112220110022012
42011002122121020
514032343031440
61005251315052
7106211463545
oct20502323110
95675813265
102232002120
11a459a8257
125235aba88
13297557a1a
1417260bbcc
15d0e3de65
hex8509a648

2232002120 has 64 divisors (see below), whose sum is σ = 5084046000. Its totient is φ = 881843200.

The previous prime is 2232002117. The next prime is 2232002137. The reversal of 2232002120 is 212002322.

It can be written as a sum of positive squares in 8 ways, for example, as 653211364 + 1578790756 = 25558^2 + 39734^2 .

It is a super-3 number, since 3×22320021203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232002095 and 2232002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173170 + ... + 1175070.

Almost surely, 22232002120 is an apocalyptic number.

2232002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232002120 is an abundant number, since it is smaller than the sum of its proper divisors (2852043880).

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

2232002120 is a wasteful number, since it uses less digits than its factorization.

2232002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2232002120 is about 47244.0696807546. The cubic root of 2232002120 is about 1306.8674291805.

Adding to 2232002120 its reverse (212002322), we get a palindrome (2444004442).

The spelling of 2232002120 in words is "two billion, two hundred thirty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 197 298 394 596 745 788 985 1192 1490 1576 1901 1970 2980 3802 3940 5960 7604 7880 9505 15208 19010 29353 38020 58706 76040 117412 146765 234824 283249 293530 374497 566498 587060 748994 1132996 1174120 1416245 1497988 1872485 2265992 2832490 2995976 3744970 5664980 7489940 11329960 14979880 55800053 111600106 223200212 279000265 446400424 558000530 1116001060 2232002120