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23103144 = 2334101353
BaseRepresentation
bin101100000100…
…0011010101000
31121110202120000
41120020122220
521403300034
62143103000
7400242051
oct130103250
947422500
1023103144
111204a809
1278a1a60
134a2b9cc
1430d5728
152065599
hex16086a8

23103144 has 80 divisors (see below), whose sum is σ = 65536020. Its totient is φ = 7603200.

The previous prime is 23103137. The next prime is 23103149. The reversal of 23103144 is 44130132.

It can be written as a sum of positive squares in 2 ways, for example, as 21734244 + 1368900 = 4662^2 + 1170^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23103149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65272 + ... + 65624.

Almost surely, 223103144 is an apocalyptic number.

23103144 is a gapful number since it is divisible by the number (24) 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 23103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768010).

23103144 is an abundant number, since it is smaller than the sum of its proper divisors (42432876).

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

23103144 is a wasteful number, since it uses less digits than its factorization.

23103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23103144 is about 4806.5729995497. The cubic root of 23103144 is about 284.8111768643.

Adding to 23103144 its reverse (44130132), we get a palindrome (67233276).

The spelling of 23103144 in words is "twenty-three million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 353 404 606 648 706 808 909 1059 1212 1412 1818 2118 2424 2727 2824 3177 3636 4236 5454 6354 7272 8181 8472 9531 10908 12708 16362 19062 21816 25416 28593 32724 35653 38124 57186 65448 71306 76248 106959 114372 142612 213918 228744 285224 320877 427836 641754 855672 962631 1283508 1925262 2567016 2887893 3850524 5775786 7701048 11551572 23103144