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2262641540 = 225113132077
BaseRepresentation
bin1000011011011101…
…0010101110000100
312211200120002200112
42012313102232010
514113214012130
61012304132152
7110033064365
oct20667225604
95750502615
102262641540
11a61225095
12531907058
132a09c4a63
14176705b6c
15d3992495
hex86dd2b84

2262641540 has 12 divisors (see below), whose sum is σ = 4751547276. Its totient is φ = 905056608.

The previous prime is 2262641477. The next prime is 2262641593. The reversal of 2262641540 is 451462622.

It can be written as a sum of positive squares in 2 ways, for example, as 1679032576 + 583608964 = 40976^2 + 24158^2 .

It is a super-3 number, since 3×22626415403 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2262641497 and 2262641506.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56566019 + ... + 56566058.

It is an arithmetic number, because the mean of its divisors is an integer number (395962273).

Almost surely, 22262641540 is an apocalyptic number.

2262641540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262641540 is an abundant number, since it is smaller than the sum of its proper divisors (2488905736).

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

2262641540 is a wasteful number, since it uses less digits than its factorization.

2262641540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113132086 (or 113132084 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2262641540 is about 47567.2317882805. The cubic root of 2262641540 is about 1312.8202047470.

The spelling of 2262641540 in words is "two billion, two hundred sixty-two million, six hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 113132077 226264154 452528308 565660385 1131320770 2262641540