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23248320 = 263561397
BaseRepresentation
bin101100010101…
…1110111000000
31121202010200220
41120223313000
521422421240
62150143040
7401415234
oct130536700
947663626
1023248320
1112139897
127951a80
134a7cb04
1431325c4
1520935d0
hex162bdc0

23248320 has 112 divisors (see below), whose sum is σ = 75212448. Its totient is φ = 6082560.

The previous prime is 23248319. The next prime is 23248327. The reversal of 23248320 is 2384232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23248327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58362 + ... + 58758.

Almost surely, 223248320 is an apocalyptic number.

23248320 is a gapful number since it is divisible by the number (20) 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 23248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37606224).

23248320 is an abundant number, since it is smaller than the sum of its proper divisors (51964128).

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

23248320 is a wasteful number, since it uses less digits than its factorization.

23248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23248320 is about 4821.6511694647. The cubic root of 23248320 is about 285.4064990310.

The spelling of 23248320 in words is "twenty-three million, two hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 397 480 488 610 732 794 915 960 976 1191 1220 1464 1588 1830 1952 1985 2382 2440 2928 3176 3660 3904 3970 4764 4880 5856 5955 6352 7320 7940 9528 9760 11712 11910 12704 14640 15880 19056 19520 23820 24217 25408 29280 31760 38112 47640 48434 58560 63520 72651 76224 95280 96868 121085 127040 145302 190560 193736 242170 290604 363255 381120 387472 484340 581208 726510 774944 968680 1162416 1453020 1549888 1937360 2324832 2906040 3874720 4649664 5812080 7749440 11624160 23248320