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2256233994 = 2337431271093
BaseRepresentation
bin1000011001111011…
…0110011000001010
312211020111120012000
42012132312120022
514110043441434
61011514531430
7106624446450
oct20636663012
95736446160
102256233994
11a58648aa3
1252b736b76
1329c590401
141759189d0
15d3128b99
hex867b660a

2256233994 has 128 divisors (see below), whose sum is σ = 5914951680. Its totient is φ = 624117312.

The previous prime is 2256233939. The next prime is 2256234007. The reversal of 2256233994 is 4993326522.

2256233994 is a `hidden beast` number, since 2 + 256 + 2 + 3 + 399 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2063712 + ... + 2064804.

It is an arithmetic number, because the mean of its divisors is an integer number (46210560).

Almost surely, 22256233994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256233994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957475840).

2256233994 is an abundant number, since it is smaller than the sum of its proper divisors (3658717686).

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

2256233994 is a wasteful number, since it uses less digits than its factorization.

2256233994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 2256233994 is about 47499.8315154907. The cubic root of 2256233994 is about 1311.5797801091.

The spelling of 2256233994 in words is "two billion, two hundred fifty-six million, two hundred thirty-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 127 129 189 254 258 301 378 381 387 602 762 774 889 903 1093 1143 1161 1778 1806 2186 2286 2322 2667 2709 3279 3429 5334 5418 5461 6558 6858 7651 8001 8127 9837 10922 15302 16002 16254 16383 19674 22953 24003 29511 32766 38227 45906 46999 48006 49149 59022 68859 76454 93998 98298 114681 137718 138811 140997 147447 206577 229362 277622 281994 294894 328993 344043 413154 416433 422991 657986 688086 832866 845982 971677 986979 1032129 1249299 1268973 1943354 1973958 2064258 2498598 2537946 2915031 2960937 3747897 5830062 5921874 5968873 7495794 8745093 8882811 11937746 17490186 17765622 17906619 26235279 35813238 41782111 52470558 53719857 83564222 107439714 125346333 161159571 250692666 322319142 376038999 752077998 1128116997 2256233994