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2264426032 = 241121136089
BaseRepresentation
bin1000011011111000…
…0110011000110000
312211210220202112211
42012332012120300
514114143113112
61012410301504
7110054206111
oct20676063060
95753822484
102264426032
11a62233880
12532427894
132a119b07b
14176a4c208
15d3be60a7
hex86f86630

2264426032 has 40 divisors (see below), whose sum is σ = 4789224720. Its totient is φ = 1028628480.

The previous prime is 2264425997. The next prime is 2264426033. The reversal of 2264426032 is 2306244622.

It is a happy number.

It is a super-3 number, since 3×22644260323 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2264425985 and 2264426003.

It is not an unprimeable number, because it can be changed into a prime (2264426033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368844 + ... + 374932.

It is an arithmetic number, because the mean of its divisors is an integer number (119730618).

Almost surely, 22264426032 is an apocalyptic number.

2264426032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2264426032 is an abundant number, since it is smaller than the sum of its proper divisors (2524798688).

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

2264426032 is a wasteful number, since it uses less digits than its factorization.

2264426032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8221 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 2264426032 is about 47585.9856680515. The cubic root of 2264426032 is about 1313.1652441621.

The spelling of 2264426032 in words is "two billion, two hundred sixty-four million, four hundred twenty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 2113 4226 6089 8452 12178 16904 23243 24356 33808 46486 48712 66979 92972 97424 133958 185944 267916 371888 535832 1071664 12866057 25732114 51464228 102928456 141526627 205856912 283053254 566106508 1132213016 2264426032