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23012352 = 2103211227
BaseRepresentation
bin101011111001…
…0010000000000
31121022011000100
41113302100000
521342343402
62141122400
7366413256
oct127622000
947264010
1023012352
1111a98580
127859400
1349c959c
1430b05d6
15204871c
hex15f2400

23012352 has 132 divisors (see below), whose sum is σ = 72807696. Its totient is φ = 6942720.

The previous prime is 23012347. The next prime is 23012371. The reversal of 23012352 is 25321032.

It is a tau number, because it is divible by the number of its divisors (132).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101263 + ... + 101489.

Almost surely, 223012352 is an apocalyptic number.

23012352 is a gapful number since it is divisible by the number (22) 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 23012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36403848).

23012352 is an abundant number, since it is smaller than the sum of its proper divisors (49795344).

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

23012352 is a wasteful number, since it uses less digits than its factorization.

23012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23012352 is about 4797.1191354812. The cubic root of 23012352 is about 284.4375982149.

Adding to 23012352 its reverse (25321032), we get a palindrome (48333384).

The spelling of 23012352 in words is "twenty-three million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 227 256 264 288 352 384 396 454 512 528 576 681 704 768 792 908 1024 1056 1152 1362 1408 1536 1584 1816 2043 2112 2304 2497 2724 2816 3072 3168 3632 4086 4224 4608 4994 5448 5632 6336 7264 7491 8172 8448 9216 9988 10896 11264 12672 14528 14982 16344 16896 19976 21792 22473 25344 29056 29964 32688 33792 39952 43584 44946 50688 58112 59928 65376 79904 87168 89892 101376 116224 119856 130752 159808 174336 179784 232448 239712 261504 319616 348672 359568 479424 523008 639232 697344 719136 958848 1046016 1278464 1438272 1917696 2092032 2556928 2876544 3835392 5753088 7670784 11506176 23012352