Search a number
-
+
68222336 = 277135857
BaseRepresentation
bin1000001000011…
…11110110000000
311202101001110012
410010033312000
5114431103321
610434124052
71455610640
oct404176600
9152331405
1068222336
11355674a6
121aa20628
1311198660
1490bc520
155ec905b
hex410fd80

68222336 has 64 divisors (see below), whose sum is σ = 167304480. Its totient is φ = 26984448.

The previous prime is 68222321. The next prime is 68222417. The reversal of 68222336 is 63322286.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8720 + ... + 14576.

Almost surely, 268222336 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 68222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83652240).

68222336 is an abundant number, since it is smaller than the sum of its proper divisors (99082144).

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

68222336 is a wasteful number, since it uses less digits than its factorization.

68222336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5879 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 68222336 is about 8259.6813497858. The cubic root of 68222336 is about 408.6098786204.

The spelling of 68222336 in words is "sixty-eight million, two hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 5857 11648 11714 23428 40999 46856 76141 81998 93712 152282 163996 187424 304564 327992 374848 532987 609128 655984 749696 1065974 1218256 1311968 2131948 2436512 2623936 4263896 4873024 5247872 8527792 9746048 17055584 34111168 68222336