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23144472 = 23321379313
BaseRepresentation
bin101100001001…
…0100000011000
31121112212020200
41120102200120
521411110342
62144022200
7400503411
oct130224030
947485220
1023144472
111207886a
127901960
134a44770
143106808
15207294c
hex1612818

23144472 has 96 divisors (see below), whose sum is σ = 68577600. Its totient is φ = 7008768.

The previous prime is 23144447. The next prime is 23144477. The reversal of 23144472 is 27444132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144477) 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, 73788 + ... + 74100.

It is an arithmetic number, because the mean of its divisors is an integer number (714350).

Almost surely, 223144472 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 23144472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34288800).

23144472 is an abundant number, since it is smaller than the sum of its proper divisors (45433128).

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

23144472 is a wasteful number, since it uses less digits than its factorization.

23144472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 23144472 is about 4810.8701915558. The cubic root of 23144472 is about 284.9809036143.

It can be divided in two parts, 2314 and 4472, that added together give a triangular number (6786 = T116).

The spelling of 23144472 in words is "twenty-three million, one hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 313 316 468 474 626 632 711 936 939 948 1027 1252 1422 1878 1896 2054 2504 2817 2844 3081 3756 4069 4108 5634 5688 6162 7512 8138 8216 9243 11268 12207 12324 16276 18486 22536 24414 24648 24727 32552 36621 36972 48828 49454 73242 73944 74181 97656 98908 146484 148362 197816 222543 292968 296724 321451 445086 593448 642902 890172 964353 1285804 1780344 1928706 2571608 2893059 3857412 5786118 7714824 11572236 23144472