Search a number
-
+
23141888 = 29711587
BaseRepresentation
bin101100001000…
…1111000000000
31121112201200222
41120101320000
521411020023
62144002212
7400463030
oct130217000
947481628
1023141888
1112076930
127900368
134a43533
1431058c0
152071cc8
hex1611e00

23141888 has 80 divisors (see below), whose sum is σ = 57746304. Its totient is φ = 9000960.

The previous prime is 23141873. The next prime is 23141893. The reversal of 23141888 is 88814132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39131 + ... + 39717.

Almost surely, 223141888 is an apocalyptic number.

23141888 is a gapful number since it is divisible by the number (28) 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 23141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28873152).

23141888 is an abundant number, since it is smaller than the sum of its proper divisors (34604416).

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

23141888 is an equidigital number, since it uses as much as digits as its factorization.

23141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 23141888 is about 4810.6016255766. The cubic root of 23141888 is about 284.9702975099.

The spelling of 23141888 in words is "twenty-three million, one hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 587 616 704 896 1174 1232 1408 1792 2348 2464 2816 3584 4109 4696 4928 5632 6457 8218 9392 9856 12914 16436 18784 19712 25828 32872 37568 39424 45199 51656 65744 75136 90398 103312 131488 150272 180796 206624 262976 300544 361592 413248 525952 723184 826496 1051904 1446368 1652992 2103808 2892736 3305984 5785472 11570944 23141888