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23318152 = 231121317109
BaseRepresentation
bin101100011110…
…0111010001000
31121212200111021
41120330322020
521432140102
62151442224
7402125644
oct130747210
947780437
1023318152
1112187300
127986374
134aa5830
14314dc24
1520a9137
hex163ce88

23318152 has 96 divisors (see below), whose sum is σ = 55301400. Its totient is φ = 9123840.

The previous prime is 23318147. The next prime is 23318153. The reversal of 23318152 is 25181332.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 2579236 = 4554^2 + 1606^2 .

It is not an unprimeable number, because it can be changed into a prime (23318153) 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, 213874 + ... + 213982.

Almost surely, 223318152 is an apocalyptic number.

23318152 is a gapful number since it is divisible by the number (22) 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 23318152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27650700).

23318152 is an abundant number, since it is smaller than the sum of its proper divisors (31983248).

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

23318152 is a wasteful number, since it uses less digits than its factorization.

23318152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 23318152 is about 4828.8872424193. The cubic root of 23318152 is about 285.6919760675.

Adding to 23318152 its reverse (25181332), we get a palindrome (48499484).

The spelling of 23318152 in words is "twenty-three million, three hundred eighteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 109 121 136 143 187 218 221 242 286 374 436 442 484 572 748 872 884 968 1144 1199 1417 1496 1573 1768 1853 2057 2398 2431 2834 3146 3706 4114 4796 4862 5668 6292 7412 8228 9592 9724 11336 12584 13189 14824 15587 16456 19448 20383 24089 26378 26741 31174 40766 48178 52756 53482 62348 81532 96356 105512 106964 124696 163064 171457 192712 213928 224213 264979 342914 448426 529958 685828 896852 1059916 1371656 1793704 2119832 2914769 5829538 11659076 23318152