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868233096 = 2332107251449
BaseRepresentation
bin110011110000000…
…010111110001000
32020111201210220100
4303300002332020
53234231424341
6222053125400
730341600553
oct6360027610
92214653810
10868233096
11406105415
12202929860
1310ab533c3
148344b69a
15513543b6
hex33c02f88

868233096 has 96 divisors (see below), whose sum is σ = 2388204000. Its totient is φ = 284928000.

The previous prime is 868233073. The next prime is 868233103. The reversal of 868233096 is 690332868.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933480 + ... + 1933928.

It is an arithmetic number, because the mean of its divisors is an integer number (24877125).

Almost surely, 2868233096 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 868233096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194102000).

868233096 is an abundant number, since it is smaller than the sum of its proper divisors (1519970904).

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

868233096 is a wasteful number, since it uses less digits than its factorization.

868233096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 868233096 is about 29465.7953566504. The cubic root of 868233096 is about 953.9935656120.

The spelling of 868233096 in words is "eight hundred sixty-eight million, two hundred thirty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 251 321 428 449 502 642 753 856 898 963 1004 1284 1347 1506 1796 1926 2008 2259 2568 2694 3012 3592 3852 4041 4518 5388 6024 7704 8082 9036 10776 16164 18072 26857 32328 48043 53714 80571 96086 107428 112699 144129 161142 192172 214856 225398 241713 288258 322284 338097 384344 432387 450796 483426 576516 644568 676194 864774 901592 966852 1014291 1153032 1352388 1729548 1933704 2028582 2704776 3459096 4057164 8114328 12058793 24117586 36176379 48235172 72352758 96470344 108529137 144705516 217058274 289411032 434116548 868233096