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268793322 = 2373211619
BaseRepresentation
bin10000000001010…
…111010111101010
3200201210010010020
4100001113113222
51022302341242
642401101310
76442464000
oct2001272752
9621703106
10268793322
111287aa446
1276027836
13438c2805
14279aca70
15188e76ec
hex100575ea

268793322 has 64 divisors (see below), whose sum is σ = 630912000. Its totient is φ = 76310640.

The previous prime is 268793311. The next prime is 268793353. The reversal of 268793322 is 223397862.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 433929 + ... + 434547.

It is an arithmetic number, because the mean of its divisors is an integer number (9858000).

Almost surely, 2268793322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268793322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315456000).

268793322 is an abundant number, since it is smaller than the sum of its proper divisors (362118678).

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

268793322 is a wasteful number, since it uses less digits than its factorization.

268793322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 268793322 is about 16394.9175661240. The cubic root of 268793322 is about 645.3661138832.

The spelling of 268793322 in words is "two hundred sixty-eight million, seven hundred ninety-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 211 294 343 422 619 633 686 1029 1238 1266 1477 1857 2058 2954 3714 4333 4431 8666 8862 10339 12999 20678 25998 30331 31017 60662 62034 72373 90993 130609 144746 181986 212317 217119 261218 391827 424634 434238 636951 783654 914263 1273902 1828526 2742789 5485578 6399841 12799682 19199523 38399046 44798887 89597774 134396661 268793322