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2264791392 = 253242118679
BaseRepresentation
bin1000011011111101…
…1111100101100000
312211211121022201200
42012333133211200
514114241311032
61012422201200
7110060260233
oct20677374540
95754538650
102264791392
11a62463326
12532583200
132a1298466
14176b0541a
15d3c6947c
hex86fdf960

2264791392 has 72 divisors (see below), whose sum is σ = 6456144240. Its totient is φ = 753096960.

The previous prime is 2264791387. The next prime is 2264791409. The reversal of 2264791392 is 2931974622.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111909 + ... + 130587.

It is an arithmetic number, because the mean of its divisors is an integer number (89668670).

Almost surely, 22264791392 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 2264791392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228072120).

2264791392 is an abundant number, since it is smaller than the sum of its proper divisors (4191352848).

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

2264791392 is a wasteful number, since it uses less digits than its factorization.

2264791392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116 (or 19105 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2264791392 is about 47589.8244585962. The cubic root of 2264791392 is about 1313.2358657744.

The spelling of 2264791392 in words is "two billion, two hundred sixty-four million, seven hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 18679 20208 30312 37358 40416 56037 60624 74716 112074 121248 149432 168111 224148 298864 336222 448296 597728 672444 896592 1344888 1793184 2689776 5379552 7863859 15727718 23591577 31455436 47183154 62910872 70774731 94366308 125821744 141549462 188732616 251643488 283098924 377465232 566197848 754930464 1132395696 2264791392