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2573223264 = 25328934803
BaseRepresentation
bin1001100101100000…
…0100010101100000
320122022222021201100
42121120010111200
520232221121024
61103201034400
7120524015433
oct23130042540
96568867640
102573223264
1111005767a7
125b9925a00
13320159121
141a5a7181a
15100d917c9
hex99604560

2573223264 has 36 divisors (see below), whose sum is σ = 7317604476. Its totient is φ = 857740992.

The previous prime is 2573223203. The next prime is 2573223287. The reversal of 2573223264 is 4623223752.

2573223264 is a `hidden beast` number, since 2 + 5 + 7 + 322 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4467114 + ... + 4467689.

It is an arithmetic number, because the mean of its divisors is an integer number (203266791).

Almost surely, 22573223264 is an apocalyptic number.

2573223264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2573223264 is an abundant number, since it is smaller than the sum of its proper divisors (4744381212).

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

2573223264 is a wasteful number, since it uses less digits than its factorization.

2573223264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934819 (or 8934808 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 2573223264 is about 50726.9481045332. The cubic root of 2573223264 is about 1370.3320742963.

The spelling of 2573223264 in words is "two billion, five hundred seventy-three million, two hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8934803 17869606 26804409 35739212 53608818 71478424 80413227 107217636 142956848 160826454 214435272 285913696 321652908 428870544 643305816 857741088 1286611632 2573223264