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2232158656 = 26713487787
BaseRepresentation
bin1000010100001100…
…0000100111000000
312202120012102000211
42011003000213000
514032413034111
61005254523504
7106213015120
oct20503004700
95676172024
102232158656
11a45aa4922
12523666594
132975b1050
1417264cc80
15d0e70521
hex850c09c0

2232158656 has 112 divisors (see below), whose sum is σ = 5469753856. Its totient is φ = 880118784.

The previous prime is 2232158641. The next prime is 2232158657. The reversal of 2232158656 is 6568512322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×22321586563 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232158657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835895 + ... + 2836681.

It is an arithmetic number, because the mean of its divisors is an integer number (48837088).

Almost surely, 22232158656 is an apocalyptic number.

2232158656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734876928).

2232158656 is an abundant number, since it is smaller than the sum of its proper divisors (3237595200).

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

2232158656 is a wasteful number, since it uses less digits than its factorization.

2232158656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1296 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 2232158656 is about 47245.7263252455. The cubic root of 2232158656 is about 1306.8979797814.

The spelling of 2232158656 in words is "two billion, two hundred thirty-two million, one hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 487 728 787 832 974 1456 1574 1948 2912 3148 3409 3896 5509 5824 6296 6331 6818 7792 10231 11018 12592 12662 13636 15584 20462 22036 25184 25324 27272 31168 40924 44072 44317 50368 50648 54544 71617 81848 88144 88634 101296 109088 143234 163696 176288 177268 202592 218176 286468 327392 352576 354536 383269 405184 572936 654784 709072 766538 1145872 1418144 1533076 2291744 2682883 2836288 3066152 4583488 4982497 5365766 6132304 9964994 10731532 12264608 19929988 21463064 24529216 34877479 39859976 42926128 69754958 79719952 85852256 139509916 159439904 171704512 279019832 318879808 558039664 1116079328 2232158656