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2264232576 = 27317932941
BaseRepresentation
bin1000011011110101…
…0111001010000000
312211210112221011210
42012331113022000
514114120420301
61012402210120
7110052442104
oct20675271200
95753487153
102264232576
11a621114a1
12532353940
132a1130cb8
141769db904
15d3ba8ad6
hex86f57280

2264232576 has 64 divisors (see below), whose sum is σ = 6048151200. Its totient is φ = 750504960.

The previous prime is 2264232571. The next prime is 2264232599. The reversal of 2264232576 is 6752324622.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2264232571) 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, 52266 + ... + 85206.

Almost surely, 22264232576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264232576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024075600).

2264232576 is an abundant number, since it is smaller than the sum of its proper divisors (3783918624).

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

2264232576 is a wasteful number, since it uses less digits than its factorization.

2264232576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33137 (or 33125 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 2264232576 is about 47583.9529253298. The cubic root of 2264232576 is about 1313.1278473521.

The spelling of 2264232576 in words is "two billion, two hundred sixty-four million, two hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 22912 32941 34368 65882 68736 98823 131764 197646 263528 395292 527056 790584 1054112 1581168 2108224 3162336 4216448 5896439 6324672 11792878 12649344 17689317 23585756 35378634 47171512 70757268 94343024 141514536 188686048 283029072 377372096 566058144 754744192 1132116288 2264232576