Search a number
-
+
223302156 = 223711673607
BaseRepresentation
bin11010100111101…
…01001000001100
3120120011220222020
431103311020030
5424131132111
634054050140
75351015460
oct1523651014
9516156866
10223302156
11105059240
1262949950
133735576c
142192a4a0
151490d906
hexd4f520c

223302156 has 96 divisors (see below), whose sum is σ = 659484672. Its totient is φ = 57119040.

The previous prime is 223302133. The next prime is 223302181. The reversal of 223302156 is 651203322.

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, 60105 + ... + 63711.

It is an arithmetic number, because the mean of its divisors is an integer number (6869632).

Almost surely, 2223302156 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 223302156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329742336).

223302156 is an abundant number, since it is smaller than the sum of its proper divisors (436182516).

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

223302156 is a wasteful number, since it uses less digits than its factorization.

223302156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 223302156 is about 14943.2980295516. The cubic root of 223302156 is about 606.6864640858.

Adding to 223302156 its reverse (651203322), we get a palindrome (874505478).

The spelling of 223302156 in words is "two hundred twenty-three million, three hundred two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 67 77 84 132 134 154 201 231 268 308 402 462 469 737 804 924 938 1407 1474 1876 2211 2814 2948 3607 4422 5159 5628 7214 8844 10318 10821 14428 15477 20636 21642 25249 30954 39677 43284 50498 61908 75747 79354 100996 119031 151494 158708 238062 241669 277739 302988 476124 483338 555478 725007 833217 966676 1110956 1450014 1666434 1691683 2658359 2900028 3332868 3383366 5075049 5316718 6766732 7975077 10150098 10633436 15950154 18608513 20300196 31900308 37217026 55825539 74434052 111651078 223302156