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2331280896 = 2937534091
BaseRepresentation
bin1000101011110100…
…1000011000000000
320000110201100011220
42022331020120000
514233301442041
61023155235040
7111525363210
oct21275103000
96013640156
102331280896
11a96a4692a
125508a8a80
132b1ca8169
14181892240
15d99eed66
hex8af48600

2331280896 has 160 divisors (see below), whose sum is σ = 7233608448. Its totient is φ = 653352960.

The previous prime is 2331280891. The next prime is 2331280901. The reversal of 2331280896 is 6980821332.

It is an interprime number because it is at equal distance from previous prime (2331280891) and next prime (2331280901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331280891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 567811 + ... + 571901.

Almost surely, 22331280896 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 2331280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616804224).

2331280896 is an abundant number, since it is smaller than the sum of its proper divisors (4902327552).

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

2331280896 is an equidigital number, since it uses as much as digits as its factorization.

2331280896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2331280896 is about 48283.3397353580. The cubic root of 2331280896 is about 1325.9633949524.

The spelling of 2331280896 in words is "two billion, three hundred thirty-one million, two hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 512 636 672 742 768 848 896 1113 1272 1344 1484 1536 1696 1792 2226 2544 2688 2968 3392 3584 4091 4452 5088 5376 5936 6784 8182 8904 10176 10752 11872 12273 13568 16364 17808 20352 23744 24546 27136 28637 32728 35616 40704 47488 49092 57274 65456 71232 81408 85911 94976 98184 114548 130912 142464 171822 189952 196368 216823 229096 261824 284928 343644 392736 433646 458192 523648 569856 650469 687288 785472 867292 916384 1047296 1300938 1374576 1517761 1570944 1734584 1832768 2094592 2601876 2749152 3035522 3141888 3469168 3665536 4553283 5203752 5498304 6071044 6283776 6938336 7331072 9106566 10407504 10996608 12142088 13876672 14662144 18213132 20815008 21993216 24284176 27753344 36426264 41630016 43986432 48568352 55506688 72852528 83260032 97136704 111013376 145705056 166520064 194273408 291410112 333040128 388546816 582820224 777093632 1165640448 2331280896