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2330854656 = 283131571487
BaseRepresentation
bin1000101011101110…
…0000010100000000
320000102220200111020
42022323200110000
514233144322111
61023142145440
7111521636424
oct21273402400
96012820436
102330854656
11a96785669
12550722280
132b1b89150
141817c0b84
15d9968906
hex8aee0500

2330854656 has 144 divisors (see below), whose sum is σ = 6727736064. Its totient is φ = 712138752.

The previous prime is 2330854639. The next prime is 2330854657. The reversal of 2330854656 is 6564580332.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330854657) 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, 1566745 + ... + 1568231.

Almost surely, 22330854656 is an apocalyptic number.

2330854656 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 2330854656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363868032).

2330854656 is an abundant number, since it is smaller than the sum of its proper divisors (4396881408).

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

2330854656 is a wasteful number, since it uses less digits than its factorization.

2330854656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 2330854656 is about 48278.9255887080. The cubic root of 2330854656 is about 1325.8825791389.

The spelling of 2330854656 in words is "two billion, three hundred thirty million, eight hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 157 192 208 256 312 314 384 416 471 624 628 768 832 942 1248 1256 1487 1664 1884 2041 2496 2512 2974 3328 3768 4082 4461 4992 5024 5948 6123 7536 8164 8922 9984 10048 11896 12246 15072 16328 17844 19331 20096 23792 24492 30144 32656 35688 38662 40192 47584 48984 57993 60288 65312 71376 77324 95168 97968 115986 120576 130624 142752 154648 190336 195936 231972 233459 261248 285504 309296 380672 391872 463944 466918 522496 571008 618592 700377 783744 927888 933836 1142016 1237184 1400754 1567488 1855776 1867672 2474368 2801508 3034967 3711552 3735344 4948736 5603016 6069934 7423104 7470688 9104901 11206032 12139868 14846208 14941376 18209802 22412064 24279736 29882752 36419604 44824128 48559472 59765504 72839208 89648256 97118944 145678416 179296512 194237888 291356832 388475776 582713664 776951552 1165427328 2330854656