Search a number
-
+
2261880630 = 232525132007
BaseRepresentation
bin1000011011010001…
…1000111100110110
312211122010102220200
42012310120330312
514113020140010
61012235541330
7110023445112
oct20664307466
95748112820
102261880630
11a60855439
125315ba846
132a07b9609
14176588742
15d3891cc0
hex86d18f36

2261880630 has 24 divisors (see below), whose sum is σ = 5880889872. Its totient is φ = 603168144.

The previous prime is 2261880623. The next prime is 2261880641. The reversal of 2261880630 is 360881622.

2261880630 is a `hidden beast` number, since 2 + 2 + 6 + 18 + 8 + 0 + 630 = 666.

2261880630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22618806302 = 10232207968738393800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12565914 + ... + 12566093.

It is an arithmetic number, because the mean of its divisors is an integer number (245037078).

Almost surely, 22261880630 is an apocalyptic number.

2261880630 is an abundant number, since it is smaller than the sum of its proper divisors (3619009242).

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

2261880630 is a wasteful number, since it uses less digits than its factorization.

2261880630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25132020 (or 25132017 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2261880630 is about 47559.2328575641. The cubic root of 2261880630 is about 1312.6730242644.

The spelling of 2261880630 in words is "two billion, two hundred sixty-one million, eight hundred eighty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 25132007 50264014 75396021 125660035 150792042 226188063 251320070 376980105 452376126 753960210 1130940315 2261880630