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2193686256 = 243177193739
BaseRepresentation
bin1000001011000000…
…1111111011110000
312122212210210211010
42002300033323300
513443040430011
61001402150520
7105235011516
oct20260177360
95585723733
102193686256
11a26307a53
125127b2440
1328c630908
1416b4b64b6
15cc8c11a6
hex82c0fef0

2193686256 has 80 divisors (see below), whose sum is σ = 6010329600. Its totient is φ = 687074304.

The previous prime is 2193686233. The next prime is 2193686269. The reversal of 2193686256 is 6526863912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584835 + ... + 588573.

It is an arithmetic number, because the mean of its divisors is an integer number (75129120).

Almost surely, 22193686256 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 2193686256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005164800).

2193686256 is an abundant number, since it is smaller than the sum of its proper divisors (3816643344).

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

2193686256 is a wasteful number, since it uses less digits than its factorization.

2193686256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4480 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2193686256 is about 46836.8045024423. The cubic root of 2193686256 is about 1299.3460726939.

The spelling of 2193686256 in words is "two billion, one hundred ninety-three million, six hundred eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 719 816 1438 2157 2876 3739 4314 5752 7478 8628 11217 11504 12223 14956 17256 22434 24446 29912 34512 36669 44868 48892 59824 63563 73338 89736 97784 127126 146676 179472 190689 195568 254252 293352 381378 508504 586704 762756 1017008 1525512 2688341 3051024 5376682 8065023 10753364 16130046 21506728 32260092 43013456 45701797 64520184 91403594 129040368 137105391 182807188 274210782 365614376 548421564 731228752 1096843128 2193686256