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2232872480 = 25517820909
BaseRepresentation
bin1000010100010110…
…1110111000100000
312202121112200012202
42011011232320200
514033103404410
61005322112332
7106222050206
oct20505567040
95677480182
102232872480
11a46442163
1252394b6a8
132977a0c27
14172797076
15d1061ca5
hex8516ee20

2232872480 has 48 divisors (see below), whose sum is σ = 5585471640. Its totient is φ = 840609792.

The previous prime is 2232872459. The next prime is 2232872483. The reversal of 2232872480 is 842782322.

It can be written as a sum of positive squares in 4 ways, for example, as 2139247504 + 93624976 = 46252^2 + 9676^2 .

It is a super-3 number, since 3×22328724803 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232872483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407735 + ... + 413174.

Almost surely, 22232872480 is an apocalyptic number.

2232872480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232872480 is an abundant number, since it is smaller than the sum of its proper divisors (3352599160).

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

2232872480 is a wasteful number, since it uses less digits than its factorization.

2232872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820941 (or 820933 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 2232872480 is about 47253.2800977879. The cubic root of 2232872480 is about 1307.0372762893.

The spelling of 2232872480 in words is "two billion, two hundred thirty-two million, eight hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 820909 1641818 3283636 4104545 6567272 8209090 13134544 13955453 16418180 26269088 27910906 32836360 55821812 65672720 69777265 111643624 131345440 139554530 223287248 279109060 446574496 558218120 1116436240 2232872480