Search a number
-
+
23262261288 = 2337281492761
BaseRepresentation
bin10101101010100010…
…011111000000101000
32020001012001022102220
4111222202133000220
5340120114330123
614404142554040
71452313646520
oct255242370050
966035038386
1023262261288
119957a38232
124612598920
132269505766
1411a967a680
15912366ce3
hex56a89f028

23262261288 has 64 divisors (see below), whose sum is σ = 66700264320. Its totient is φ = 6622694400.

The previous prime is 23262261259. The next prime is 23262261311. The reversal of 23262261288 is 88216226232.

It is a happy number.

It is a super-2 number, since 2×232622612882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199173 + ... + 293588.

It is an arithmetic number, because the mean of its divisors is an integer number (1042191630).

Almost surely, 223262261288 is an apocalyptic number.

23262261288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23262261288 is an abundant number, since it is smaller than the sum of its proper divisors (43438003032).

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

23262261288 is a wasteful number, since it uses less digits than its factorization.

23262261288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493058 (or 493054 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 23262261288 in words is "twenty-three billion, two hundred sixty-two million, two hundred sixty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 281 562 843 1124 1686 1967 2248 3372 3934 5901 6744 7868 11802 15736 23604 47208 492761 985522 1478283 1971044 2956566 3449327 3942088 5913132 6898654 10347981 11826264 13797308 20695962 27594616 41391924 82783848 138465841 276931682 415397523 553863364 830795046 969260887 1107726728 1661590092 1938521774 2907782661 3323180184 3877043548 5815565322 7754087096 11631130644 23262261288