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2292457472 = 213234
BaseRepresentation
bin1000100010100100…
…0010000000000000
312220202122220110022
42020221002000000
514143332114342
61015251153012
7110544365324
oct21051020000
95822586408
102292457472
11a7703a258
1253b8a5768
132a6c34016
1417a667984
15d63d19d2
hex88a42000

2292457472 has 70 divisors (see below), whose sum is σ = 4793026863. Its totient is φ = 1096392704.

The previous prime is 2292457457. The next prime is 2292457487. The reversal of 2292457472 is 2747542922.

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 is an interprime number because it is at equal distance from previous prime (2292457457) and next prime (2292457487).

It can be written as a sum of positive squares in only one way, i.e., 1146228736 + 1146228736 = 33856^2 + 33856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33856.

It is a super-2 number, since 2×22924574722 = 10510722521857261568, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 99672053 + ... + 99672075.

Almost surely, 22292457472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292457472

2292457472 is an abundant number, since it is smaller than the sum of its proper divisors (2500569391).

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

2292457472 is an frugal number, since it uses more digits than its factorization.

2292457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 25 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 2292457472 is about 47879.6143677035. The cubic root of 2292457472 is about 1318.5616165339.

The spelling of 2292457472 in words is "two billion, two hundred ninety-two million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 4096 4232 5888 8192 8464 11776 12167 16928 23552 24334 33856 47104 48668 67712 94208 97336 135424 188416 194672 270848 279841 389344 541696 559682 778688 1083392 1119364 1557376 2166784 2238728 3114752 4333568 4477456 6229504 8954912 12459008 17909824 24918016 35819648 49836032 71639296 99672064 143278592 286557184 573114368 1146228736 2292457472