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3222936 = 233343347
BaseRepresentation
bin1100010010110110011000
320001202001000
430102312120
51311113221
6153025000
736252213
oct14226630
96052030
103222936
111901492
1210b5160
1388ac82
145dc77a
15439e26
hex312d98

3222936 has 64 divisors (see below), whose sum is σ = 9187200. Its totient is φ = 1046304.

The previous prime is 3222929. The next prime is 3222937. The reversal of 3222936 is 6392223.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9115 + ... + 9461.

It is an arithmetic number, because the mean of its divisors is an integer number (143550).

Almost surely, 23222936 is an apocalyptic number.

3222936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593600).

3222936 is an abundant number, since it is smaller than the sum of its proper divisors (5964264).

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

3222936 is a wasteful number, since it uses less digits than its factorization.

3222936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3222936 is about 1795.2537425111. The cubic root of 3222936 is about 147.7124927340.

The spelling of 3222936 in words is "three million, two hundred twenty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 347 387 516 694 774 1032 1041 1161 1388 1548 2082 2322 2776 3096 3123 4164 4644 6246 8328 9288 9369 12492 14921 18738 24984 29842 37476 44763 59684 74952 89526 119368 134289 179052 268578 358104 402867 537156 805734 1074312 1611468 3222936