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23133024 = 2532471709
BaseRepresentation
bin101100000111…
…1101101100000
31121112021112200
41120033231200
521410224044
62143453200
7400425135
oct130175540
947467480
1023133024
1112070202
1278b7200
134a3c4a5
14310258c
15206e369
hex160fb60

23133024 has 72 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 7542528.

The previous prime is 23132999. The next prime is 23133031. The reversal of 23133024 is 42033132.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 23132988 and 23133006.

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, 12682 + ... + 14390.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 223133024 is an apocalyptic number.

23133024 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 23133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

23133024 is an abundant number, since it is smaller than the sum of its proper divisors (44090496).

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

23133024 is a wasteful number, since it uses less digits than its factorization.

23133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23133024 is about 4809.6802388516. The cubic root of 23133024 is about 284.9339089592.

Adding to 23133024 its reverse (42033132), we get a palindrome (65166156).

The spelling of 23133024 in words is "twenty-three million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 1709 2256 3384 3418 4512 5127 6768 6836 10254 13536 13672 15381 20508 27344 30762 41016 54688 61524 80323 82032 123048 160646 164064 240969 246096 321292 481938 492192 642584 722907 963876 1285168 1445814 1927752 2570336 2891628 3855504 5783256 7711008 11566512 23133024