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2331625472 = 211112972
BaseRepresentation
bin1000101011111001…
…1100100000000000
320000111100211211222
42022332130200000
514233344003342
61023210454212
7111531326621
oct21276344000
96014324758
102331625472
11a97161800
12550a34368
132b2098c57
14181941a48
15d9a6bed2
hex8af9c800

2331625472 has 108 divisors (see below), whose sum is σ = 5177844945. Its totient is φ = 1048903680.

The previous prime is 2331625469. The next prime is 2331625481. The reversal of 2331625472 is 2745261332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2325554176 + 6071296 = 48224^2 + 2464^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34144.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24037328 + ... + 24037424.

Almost surely, 22331625472 is an apocalyptic number.

2331625472 is a gapful number since it is divisible by the number (22) 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 2331625472

2331625472 is an abundant number, since it is smaller than the sum of its proper divisors (2846219473).

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

2331625472 is an frugal number, since it uses more digits than its factorization.

2331625472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 110 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 2331625472 is about 48286.9078736670. The cubic root of 2331625472 is about 1326.0287199353.

The spelling of 2331625472 in words is "two billion, three hundred thirty-one million, six hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 128 176 194 242 256 352 388 484 512 704 776 968 1024 1067 1408 1552 1936 2048 2134 2816 3104 3872 4268 5632 6208 7744 8536 9409 11264 11737 12416 15488 17072 18818 22528 23474 24832 30976 34144 37636 46948 49664 61952 68288 75272 93896 99328 103499 123904 136576 150544 187792 198656 206998 247808 273152 301088 375584 413996 546304 602176 751168 827992 1092608 1138489 1204352 1502336 1655984 2185216 2276978 2408704 3004672 3311968 4553956 4817408 6009344 6623936 9107912 9634816 12018688 13247872 18215824 19269632 24037376 26495744 36431648 52991488 72863296 105982976 145726592 211965952 291453184 582906368 1165812736 2331625472