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272072331 = 3347214399
BaseRepresentation
bin10000001101110…
…111111010001011
3200221221201002000
4100031313322023
51024122303311
642555242043
76512401536
oct2015677213
9627851060
10272072331
1112a639a73
1277149323
13444a015b
14281c3a1d
1518d44056
hex10377e8b

272072331 has 16 divisors (see below), whose sum is σ = 411648000. Its totient is φ = 177521544.

The previous prime is 272072323. The next prime is 272072341. The reversal of 272072331 is 133270272.

It is a happy number.

It is not a de Polignac number, because 272072331 - 23 = 272072323 is a prime.

It is a super-2 number, since 2×2720723312 = 148046706591547122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 272072295 and 272072304.

It is not an unprimeable number, because it can be changed into a prime (272072321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105931 + ... + 108468.

It is an arithmetic number, because the mean of its divisors is an integer number (25728000).

Almost surely, 2272072331 is an apocalyptic number.

272072331 is a deficient number, since it is larger than the sum of its proper divisors (139575669).

272072331 is a wasteful number, since it uses less digits than its factorization.

272072331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214455 (or 214449 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 272072331 is about 16494.6152122443. The cubic root of 272072331 is about 647.9797876069.

The spelling of 272072331 in words is "two hundred seventy-two million, seventy-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 47 141 423 1269 214399 643197 1929591 5788773 10076753 30230259 90690777 272072331