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2270641131 = 321141717879
BaseRepresentation
bin1000011101010111…
…0011101111101011
312212020121112001200
42013111303233223
514122241004011
61013151415243
7110161062663
oct20725635753
95766545050
102270641131
11a65799320
12534524523
132a2565c45
141777c91a3
15d4522856
hex87573beb

2270641131 has 48 divisors (see below), whose sum is σ = 3717342720. Its totient is φ = 1323504000.

The previous prime is 2270641099. The next prime is 2270641141. The reversal of 2270641131 is 1311460722.

2270641131 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 641 + 13 + 1 = 666.

It is not a de Polignac number, because 2270641131 - 25 = 2270641099 is a prime.

It is a super-2 number, since 2×22706411312 = 10311622291577918322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2270641095 and 2270641104.

It is not an unprimeable number, because it can be changed into a prime (2270641141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284250 + ... + 292128.

It is an arithmetic number, because the mean of its divisors is an integer number (77444640).

Almost surely, 22270641131 is an apocalyptic number.

2270641131 is a deficient number, since it is larger than the sum of its proper divisors (1446701589).

2270641131 is a wasteful number, since it uses less digits than its factorization.

2270641131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2270641131 is about 47651.2448001099. The cubic root of 2270641131 is about 1314.3655478179.

The spelling of 2270641131 in words is "two billion, two hundred seventy million, six hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 41 71 99 123 213 369 451 639 781 1353 2343 2911 4059 7029 7879 8733 23637 26199 32021 70911 86669 96063 260007 288189 323039 559409 780021 969117 1678227 2907351 3553429 5034681 6153499 10660287 18460497 22935769 31980861 55381491 68807307 206421921 252293459 756880377 2270641131