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23133312 = 273243467
BaseRepresentation
bin101100000111…
…1110010000000
31121112021221100
41120033302000
521410231222
62143454400
7400426026
oct130176200
947467840
1023133312
1112070444
1278b7400
134a3c667
143102716
15206e4ac
hex160fc80

23133312 has 96 divisors (see below), whose sum is σ = 68262480. Its totient is φ = 7515648.

The previous prime is 23133301. The next prime is 23133323. The reversal of 23133312 is 21333132.

It is an interprime number because it is at equal distance from previous prime (23133301) and next prime (23133323).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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, 49303 + ... + 49769.

Almost surely, 223133312 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 23133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34131240).

23133312 is an abundant number, since it is smaller than the sum of its proper divisors (45129168).

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

23133312 is a wasteful number, since it uses less digits than its factorization.

23133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 23133312 is about 4809.7101783787. The cubic root of 23133312 is about 284.9350914047.

Adding to 23133312 its reverse (21333132), we get a palindrome (44466444).

It can be divided in two parts, 2313 and 3312, that added together give a square (5625 = 752).

The spelling of 23133312 in words is "twenty-three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 467 516 576 688 774 934 1032 1152 1376 1401 1548 1868 2064 2752 2802 3096 3736 4128 4203 5504 5604 6192 7472 8256 8406 11208 12384 14944 16512 16812 20081 22416 24768 29888 33624 40162 44832 49536 59776 60243 67248 80324 89664 120486 134496 160648 179328 180729 240972 268992 321296 361458 481944 537984 642592 722916 963888 1285184 1445832 1927776 2570368 2891664 3855552 5783328 7711104 11566656 23133312