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23453144 = 23111321983
BaseRepresentation
bin101100101110…
…1110111011000
31122010112122222
41121131313120
522001000034
62154403212
7403230341
oct131356730
948115588
1023453144
1112269770
127a30508
134b22100
1431870c8
1520d412e
hex165ddd8

23453144 has 96 divisors (see below), whose sum is σ = 55339200. Its totient is φ = 9210240.

The previous prime is 23453137. The next prime is 23453147. The reversal of 23453144 is 44135432.

It is a Harshad number since it is a multiple of its sum of digits (26).

Its product of digits (5760) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23453147) 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, 282527 + ... + 282609.

It is an arithmetic number, because the mean of its divisors is an integer number (576450).

Almost surely, 223453144 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 23453144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669600).

23453144 is an abundant number, since it is smaller than the sum of its proper divisors (31886056).

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

23453144 is a wasteful number, since it uses less digits than its factorization.

23453144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 23453144 is about 4842.8446186100. The cubic root of 23453144 is about 286.2422190444.

Adding to 23453144 its reverse (44135432), we get a palindrome (67588576).

The spelling of 23453144 in words is "twenty-three million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 83 88 104 143 152 166 169 209 247 286 332 338 418 494 572 664 676 836 913 988 1079 1144 1352 1577 1672 1826 1859 1976 2158 2717 3154 3211 3652 3718 4316 5434 6308 6422 7304 7436 8632 10868 11869 12616 12844 14027 14872 17347 20501 21736 23738 25688 28054 34694 35321 41002 47476 56108 69388 70642 82004 94952 112216 138776 141284 154297 164008 225511 266513 282568 308594 451022 533026 617188 902044 1066052 1234376 1804088 2132104 2931643 5863286 11726572 23453144