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23284152 = 2333172373
BaseRepresentation
bin101100011010…
…0100110111000
31121210221212000
41120310212320
521430043102
62151021000
7401624553
oct130644670
947727760
1023284152
1112163801
12796a760
134a93208
14314169a
15209e01c
hex16349b8

23284152 has 96 divisors (see below), whose sum is σ = 68890800. Its totient is φ = 7285248.

The previous prime is 23284147. The next prime is 23284159. The reversal of 23284152 is 25148232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23284159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62238 + ... + 62610.

Almost surely, 223284152 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 23284152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34445400).

23284152 is an abundant number, since it is smaller than the sum of its proper divisors (45606648).

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

23284152 is a wasteful number, since it uses less digits than its factorization.

23284152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 23284152 is about 4825.3654783861. The cubic root of 23284152 is about 285.5530535079.

It can be divided in two parts, 23284 and 152, that added together give a triangular number (23436 = T216).

The spelling of 23284152 in words is "twenty-three million, two hundred eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 373 408 459 578 612 746 867 918 1119 1156 1224 1492 1734 1836 2238 2312 2601 2984 3357 3468 3672 4476 5202 6341 6714 6936 7803 8952 10071 10404 12682 13428 15606 19023 20142 20808 25364 26856 31212 38046 40284 50728 57069 62424 76092 80568 107797 114138 152184 171207 215594 228276 323391 342414 431188 456552 646782 684828 862376 970173 1293564 1369656 1940346 2587128 2910519 3880692 5821038 7761384 11642076 23284152