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23433228 = 223271323311
BaseRepresentation
bin101100101100…
…1000000001100
31122002112100100
41121121000030
521444330403
62154131100
7403115310
oct131310014
948075310
1023433228
1112255805
127a20a90
134b16020
14317db40
1520cd2a3
hex165900c

23433228 has 144 divisors (see below), whose sum is σ = 76317696. Its totient is φ = 5892480.

The previous prime is 23433227. The next prime is 23433229. The reversal of 23433228 is 82233432.

23433228 is a `hidden beast` number, since 2 + 3 + 433 + 228 = 666.

It is an interprime number because it is at equal distance from previous prime (23433227) and next prime (23433229).

It is not an unprimeable number, because it can be changed into a prime (23433227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75193 + ... + 75503.

It is an arithmetic number, because the mean of its divisors is an integer number (529984).

Almost surely, 223433228 is an apocalyptic number.

23433228 is a gapful number since it is divisible by the number (28) 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 23433228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38158848).

23433228 is an abundant number, since it is smaller than the sum of its proper divisors (52884468).

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

23433228 is a wasteful number, since it uses less digits than its factorization.

23433228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 23433228 is about 4840.7879523896. The cubic root of 23433228 is about 286.1611721356.

The spelling of 23433228 in words is "twenty-three million, four hundred thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 311 322 364 414 468 483 546 598 622 644 819 828 897 933 966 1092 1196 1244 1449 1638 1794 1866 1932 2093 2177 2691 2799 2898 3276 3588 3732 4043 4186 4354 5382 5598 5796 6279 6531 7153 8086 8372 8708 10764 11196 12129 12558 13062 14306 16172 18837 19593 21459 24258 25116 26124 28301 28612 36387 37674 39186 42918 48516 50071 56602 64377 72774 75348 78372 84903 85836 92989 100142 113204 128754 145548 150213 169806 185978 200284 254709 257508 278967 300426 339612 371956 450639 509418 557934 600852 650923 836901 901278 1018836 1115868 1301846 1673802 1802556 1952769 2603692 3347604 3905538 5858307 7811076 11716614 23433228