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23033232 = 243217972
BaseRepresentation
bin101011111011…
…1010110010000
31121100012122200
41113313112100
521344030412
62141403200
7366531165
oct127672620
947305580
1023033232
1112002232
127869500
134a05c41
1430b806c
15204e9dc
hex15f7590

23033232 has 90 divisors (see below), whose sum is σ = 68963778. Its totient is φ = 7151616.

The previous prime is 23033201. The next prime is 23033291. The reversal of 23033232 is 23233032.

It can be written as a sum of positive squares in 3 ways, for example, as 5089536 + 17943696 = 2256^2 + 4236^2 .

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 17 ways as a sum of consecutive naturals, for example, 237408 + ... + 237504.

Almost surely, 223033232 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 23033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34481889).

23033232 is an abundant number, since it is smaller than the sum of its proper divisors (45930546).

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

23033232 is a wasteful number, since it uses less digits than its factorization.

23033232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 23033232 is about 4799.2949482190. The cubic root of 23033232 is about 284.5235992997.

Adding to 23033232 its reverse (23233032), we get a palindrome (46266264).

The spelling of 23033232 in words is "twenty-three million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 97 102 136 144 153 194 204 272 291 306 388 408 582 612 776 816 873 1164 1224 1552 1649 1746 2328 2448 3298 3492 4656 4947 6596 6984 9409 9894 13192 13968 14841 18818 19788 26384 28227 29682 37636 39576 56454 59364 75272 79152 84681 112908 118728 150544 159953 169362 225816 237456 319906 338724 451632 479859 639812 677448 959718 1279624 1354896 1439577 1919436 2559248 2879154 3838872 5758308 7677744 11516616 23033232