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2264426031 = 37313478381
BaseRepresentation
bin1000011011111000…
…0110011000101111
312211210220202112210
42012332012120233
514114143113111
61012410301503
7110054206110
oct20676063057
95753822483
102264426031
11a6223387a
12532427893
132a119b07a
14176a4c207
15d3be60a6
hex86f8662f

2264426031 has 16 divisors (see below), whose sum is σ = 3561863168. Its totient is φ = 1252216800.

The previous prime is 2264425997. The next prime is 2264426033. The reversal of 2264426031 is 1306244622.

It is not a de Polignac number, because 2264426031 - 229 = 1727555119 is a prime.

It is a super-3 number, since 3×22644260313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2264426031.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738540 + ... + 1739841.

It is an arithmetic number, because the mean of its divisors is an integer number (222616448).

Almost surely, 22264426031 is an apocalyptic number.

2264426031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2264426031 is a deficient number, since it is larger than the sum of its proper divisors (1297437137).

2264426031 is a wasteful number, since it uses less digits than its factorization.

2264426031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478422.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2264426031 is about 47585.9856575442. The cubic root of 2264426031 is about 1313.1652439688.

The spelling of 2264426031 in words is "two billion, two hundred sixty-four million, four hundred twenty-six thousand, thirty-one".

Divisors: 1 3 7 21 31 93 217 651 3478381 10435143 24348667 73046001 107829811 323489433 754808677 2264426031