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23244144 = 24371119331
BaseRepresentation
bin101100010101…
…0110101110000
31121201220222020
41120222311300
521422303034
62150111440
7401400120
oct130526560
947656866
1023244144
1112136740
12794b580
134a7ac41
143130c80
152092249
hex162ad70

23244144 has 160 divisors (see below), whose sum is σ = 79042560. Its totient is φ = 5702400.

The previous prime is 23244139. The next prime is 23244161. The reversal of 23244144 is 44144232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70059 + ... + 70389.

It is an arithmetic number, because the mean of its divisors is an integer number (494016).

Almost surely, 223244144 is an apocalyptic number.

23244144 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 23244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39521280).

23244144 is an abundant number, since it is smaller than the sum of its proper divisors (55798416).

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

23244144 is a wasteful number, since it uses less digits than its factorization.

23244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 23244144 is about 4821.2181033428. The cubic root of 23244144 is about 285.3894092096.

Adding to 23244144 its reverse (44144232), we get a palindrome (67388376).

The spelling of 23244144 in words is "twenty-three million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 331 336 399 418 456 462 528 532 616 627 662 798 836 912 924 993 1064 1232 1254 1324 1463 1596 1672 1848 1986 2128 2317 2508 2648 2926 3192 3344 3641 3696 3972 4389 4634 5016 5296 5852 6289 6384 6951 7282 7944 8778 9268 10032 10923 11704 12578 13902 14564 15888 17556 18536 18867 21846 23408 25156 25487 27804 29128 35112 37072 37734 43692 44023 50312 50974 55608 58256 69179 70224 75468 76461 87384 88046 100624 101948 111216 132069 138358 150936 152922 174768 176092 203896 207537 264138 276716 301872 305844 352184 407792 415074 484253 528276 553432 611688 704368 830148 968506 1056552 1106864 1223376 1452759 1660296 1937012 2113104 2905518 3320592 3874024 5811036 7748048 11622072 23244144