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2321232096 = 253531014517
BaseRepresentation
bin1000101001011011…
…0011000011100000
312222202210210211010
42022112303003200
514223213411341
61022200020520
7111344101341
oct21226630340
95882723733
102321232096
11a91303037
12549461740
132acb9a321
141803d80c8
15d8bb7716
hex8a5b30e0

2321232096 has 96 divisors (see below), whose sum is σ = 6271056288. Its totient is φ = 751462400.

The previous prime is 2321232079. The next prime is 2321232107. The reversal of 2321232096 is 6902321232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511630 + ... + 516146.

It is an arithmetic number, because the mean of its divisors is an integer number (65323503).

Almost surely, 22321232096 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 2321232096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135528144).

2321232096 is an abundant number, since it is smaller than the sum of its proper divisors (3949824192).

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

2321232096 is a wasteful number, since it uses less digits than its factorization.

2321232096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2321232096 is about 48179.1666179481. The cubic root of 2321232096 is about 1324.0554979581.

The spelling of 2321232096 in words is "two billion, three hundred twenty-one million, two hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 101 106 159 202 212 303 318 404 424 606 636 808 848 1212 1272 1616 1696 2424 2544 3232 4517 4848 5088 5353 9034 9696 10706 13551 16059 18068 21412 27102 32118 36136 42824 54204 64236 72272 85648 108408 128472 144544 171296 216816 239401 256944 433632 456217 478802 513888 718203 912434 957604 1368651 1436406 1824868 1915208 2737302 2872812 3649736 3830416 5474604 5745624 7299472 7660832 10949208 11491248 14598944 21898416 22982496 24179501 43796832 48359002 72538503 96718004 145077006 193436008 290154012 386872016 580308024 773744032 1160616048 2321232096