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2264136460 = 225315776329
BaseRepresentation
bin1000011011110011…
…1111101100001100
312211210101001022221
42012330333230030
514114104331320
61012400145124
7110051561635
oct20674775414
95753331287
102264136460
11a62056263
125323081a4
132a10c9321
141769b488c
15d3b8a3aa
hex86f3fb0c

2264136460 has 48 divisors (see below), whose sum is σ = 4917346560. Its totient is φ = 874782720.

The previous prime is 2264136439. The next prime is 2264136467. The reversal of 2264136460 is 646314622.

It is not an unprimeable number, because it can be changed into a prime (2264136467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354576 + ... + 360904.

It is an arithmetic number, because the mean of its divisors is an integer number (102444720).

Almost surely, 22264136460 is an apocalyptic number.

2264136460 is a gapful number since it is divisible by the number (20) 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 2264136460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458673280).

2264136460 is an abundant number, since it is smaller than the sum of its proper divisors (2653210100).

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

2264136460 is a wasteful number, since it uses less digits than its factorization.

2264136460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2264136460 is about 47582.9429522807. The cubic root of 2264136460 is about 1313.1092664602.

The spelling of 2264136460 in words is "two billion, two hundred sixty-four million, one hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 577 620 1154 2308 2885 5770 6329 11540 12658 17887 25316 31645 35774 63290 71548 89435 126580 178870 196199 357740 392398 784796 980995 1961990 3651833 3923980 7303666 14607332 18259165 36518330 73036660 113206823 226413646 452827292 566034115 1132068230 2264136460