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23238144 = 2933412
BaseRepresentation
bin101100010100…
…1011000000000
31121201121202000
41120221120000
521422110034
62150024000
7401343456
oct130513000
947647660
1023238144
1112132186
127948000
134a782a7
14312c9d6
152090599
hex1629600

23238144 has 120 divisors (see below), whose sum is σ = 70505160. Its totient is φ = 7557120.

The previous prime is 23238113. The next prime is 23238157. The reversal of 23238144 is 44183232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×232381442 = 1080022673129472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566764 + ... + 566804.

It is an arithmetic number, because the mean of its divisors is an integer number (587543).

Almost surely, 223238144 is an apocalyptic number.

23238144 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 23238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35252580).

23238144 is an abundant number, since it is smaller than the sum of its proper divisors (47267016).

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

23238144 is an frugal number, since it uses more digits than its factorization.

23238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 46 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 23238144 is about 4820.5958137973. The cubic root of 23238144 is about 285.3648512849.

The spelling of 23238144 in words is "twenty-three million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 512 576 656 738 768 864 984 1107 1152 1312 1476 1536 1681 1728 1968 2214 2304 2624 2952 3362 3456 3936 4428 4608 5043 5248 5904 6724 6912 7872 8856 10086 10496 11808 13448 13824 15129 15744 17712 20172 20992 23616 26896 30258 31488 35424 40344 45387 47232 53792 60516 62976 70848 80688 90774 94464 107584 121032 141696 161376 181548 188928 215168 242064 283392 322752 363096 430336 484128 566784 645504 726192 860672 968256 1291008 1452384 1936512 2582016 2904768 3873024 5809536 7746048 11619072 23238144