Search a number
-
+
23255455232 = 291910123669
BaseRepresentation
bin10101101010001000…
…100001011000000000
32020000201020112021202
4111222020201120000
5340111344031412
614403341040332
71452202052012
oct255210413000
966021215252
1023255455232
119954109799
1246102560a8
132267c918c9
1411a87c81b2
159119703c2
hex56a221600

23255455232 has 80 divisors (see below), whose sum is σ = 49397396400. Its totient is φ = 10906214400.

The previous prime is 23255455219. The next prime is 23255455243.

23255455232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970694 + ... + 994362.

It is an arithmetic number, because the mean of its divisors is an integer number (617467455).

Almost surely, 223255455232 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 23255455232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698698200).

23255455232 is an abundant number, since it is smaller than the sum of its proper divisors (26141941168).

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

23255455232 is a wasteful number, since it uses less digits than its factorization.

23255455232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23807 (or 23791 counting only the distinct ones).

The product of its digits is 360000, while the sum is 38.

The spelling of 23255455232 in words is "twenty-three billion, two hundred fifty-five million, four hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 128 152 202 256 304 404 512 608 808 1216 1616 1919 2432 3232 3838 4864 6464 7676 9728 12928 15352 23669 25856 30704 47338 51712 61408 94676 122816 189352 245632 378704 449711 491264 757408 899422 982528 1514816 1798844 2390569 3029632 3597688 4781138 6059264 7195376 9562276 12118528 14390752 19124552 28781504 38249104 45420811 57563008 76498208 90841622 115126016 152996416 181683244 230252032 305992832 363366488 611985664 726732976 1223971328 1453465952 2906931904 5813863808 11627727616 23255455232