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23035144 = 23111923599
BaseRepresentation
bin101011111011…
…1110100001000
31121100022021111
41113313310020
521344111034
62141420104
7366536566
oct127676410
947308244
1023035144
1112003710
12786a634
134a06a82
1430b8a36
152050364
hex15f7d08

23035144 has 64 divisors (see below), whose sum is σ = 51840000. Its totient is φ = 9472320.

The previous prime is 23035099. The next prime is 23035151. The reversal of 23035144 is 44153032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38157 + ... + 38755.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 223035144 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 23035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

23035144 is an abundant number, since it is smaller than the sum of its proper divisors (28804856).

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

23035144 is a wasteful number, since it uses less digits than its factorization.

23035144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 23035144 is about 4799.4941400110. The cubic root of 23035144 is about 284.5314718968.

Adding to 23035144 its reverse (44153032), we get a palindrome (67188176).

It can be divided in two parts, 2303 and 5144, that added together give a palindrome (7447).

The spelling of 23035144 in words is "twenty-three million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 599 836 874 1012 1198 1672 1748 2024 2396 3496 4792 4807 6589 9614 11381 13178 13777 19228 22762 26356 27554 38456 45524 52712 55108 91048 110216 125191 151547 250382 261763 303094 500764 523526 606188 1001528 1047052 1212376 2094104 2879393 5758786 11517572 23035144