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2229648264 = 233230967337
BaseRepresentation
bin1000010011100101…
…1011101110001000
312202101110212102100
42010321123232020
514031242221024
61005125033400
7106152461154
oct20471335610
95671425370
102229648264
11a4463a818
12522855860
13296c124cc
14172198064
15d0b267c9
hex84e5bb88

2229648264 has 24 divisors (see below), whose sum is σ = 6038630910. Its totient is φ = 743216064.

The previous prime is 2229648263. The next prime is 2229648269. The reversal of 2229648264 is 4628469222.

2229648264 is a `hidden beast` number, since 2 + 22 + 96 + 482 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1874024100 + 355624164 = 43290^2 + 18858^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2229648263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15483597 + ... + 15483740.

Almost surely, 22229648264 is an apocalyptic number.

2229648264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2229648264 is an abundant number, since it is smaller than the sum of its proper divisors (3808982646).

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

2229648264 is a wasteful number, since it uses less digits than its factorization.

2229648264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30967349 (or 30967342 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2229648264 is about 47219.1514536210. The cubic root of 2229648264 is about 1306.4078627493.

The spelling of 2229648264 in words is "two billion, two hundred twenty-nine million, six hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30967337 61934674 92902011 123869348 185804022 247738696 278706033 371608044 557412066 743216088 1114824132 2229648264