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2271331128 = 23311151227251
BaseRepresentation
bin1000011101100001…
…1100001100111000
312212021220120120010
42013120130030320
514122430044003
61013214301520
7110166665433
oct20730341470
95767816503
102271331128
11a6611a770
125347b78a0
132a2748021
1417792881a
15d460c003
hex8761c338

2271331128 has 128 divisors (see below), whose sum is σ = 6287984640. Its totient is φ = 678000000.

The previous prime is 2271331103. The next prime is 2271331129. The reversal of 2271331128 is 8211331722.

It is a junction number, because it is equal to n+sod(n) for n = 2271331095 and 2271331104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271331129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9049003 + ... + 9049253.

It is an arithmetic number, because the mean of its divisors is an integer number (49124880).

Almost surely, 22271331128 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 2271331128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143992320).

2271331128 is an abundant number, since it is smaller than the sum of its proper divisors (4016653512).

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

2271331128 is a wasteful number, since it uses less digits than its factorization.

2271331128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 2271331128 is about 47658.4843233605. The cubic root of 2271331128 is about 1314.4986697550.

The spelling of 2271331128 in words is "two billion, two hundred seventy-one million, three hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 227 251 264 302 453 454 502 604 681 753 906 908 1004 1208 1362 1506 1661 1812 1816 2008 2497 2724 2761 3012 3322 3624 4983 4994 5448 5522 6024 6644 7491 8283 9966 9988 11044 13288 14982 16566 19932 19976 22088 29964 33132 34277 37901 39864 56977 59928 66264 68554 75802 102831 113703 113954 137108 151604 170931 205662 227406 227908 274216 303208 341862 377047 411324 416911 454812 455816 626747 683724 754094 822648 833822 909624 1131141 1250733 1253494 1367448 1508188 1667644 1880241 2262282 2501466 2506988 3016376 3335288 3760482 4524564 5002932 5013976 7520964 8603527 9049128 10005864 15041928 17207054 25810581 34414108 51621162 68828216 94638797 103242324 189277594 206484648 283916391 378555188 567832782 757110376 1135665564 2271331128