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23121648 = 24321121327
BaseRepresentation
bin101100000110…
…0111011110000
31121111200221100
41120030323300
521404343043
62143324400
7400350024
oct130147360
947450840
1023121648
1112062700
1278b0700
134a37264
1430dc384
15206acd3
hex160cef0

23121648 has 90 divisors (see below), whose sum is σ = 71179472. Its totient is φ = 7001280.

The previous prime is 23121643. The next prime is 23121661. The reversal of 23121648 is 84612132.

23121648 is a `hidden beast` number, since 2 + 3 + 12 + 1 + 648 = 666.

It is a super-2 number, since 2×231216482 = 1069221212471808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16761 + ... + 18087.

Almost surely, 223121648 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 23121648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35589736).

23121648 is an abundant number, since it is smaller than the sum of its proper divisors (48057824).

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

23121648 is a wasteful number, since it uses less digits than its factorization.

23121648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1343 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23121648 is about 4808.4974784230. The cubic root of 23121648 is about 284.8871945070.

The spelling of 23121648 in words is "twenty-three million, one hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1327 1452 1584 1936 2178 2654 2904 3981 4356 5308 5808 7962 8712 10616 11943 14597 15924 17424 21232 23886 29194 31848 43791 47772 58388 63696 87582 95544 116776 131373 160567 175164 191088 233552 262746 321134 350328 481701 525492 642268 700656 963402 1050984 1284536 1445103 1926804 2101968 2569072 2890206 3853608 5780412 7707216 11560824 23121648