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2355244540 = 2251196711071
BaseRepresentation
bin1000110001100010…
…0010110111111100
320002010210211010021
42030120202313330
514310420311130
61025413021524
7112236151105
oct21430426774
96063724107
102355244540
11aa95240a0
125589248a4
132b6c4872c
14184b2d3ac
15dbb8537a
hex8c622dfc

2355244540 has 48 divisors (see below), whose sum is σ = 5401718784. Its totient is φ = 855489600.

The previous prime is 2355244537. The next prime is 2355244607. The reversal of 2355244540 is 454425532.

2355244540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2355244496 and 2355244505.

It is a congruent number.

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, 207205 + ... + 218275.

It is an arithmetic number, because the mean of its divisors is an integer number (112535808).

Almost surely, 22355244540 is an apocalyptic number.

2355244540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355244540 is an abundant number, since it is smaller than the sum of its proper divisors (3046474244).

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

2355244540 is a wasteful number, since it uses less digits than its factorization.

2355244540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12058 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The square root of 2355244540 is about 48530.8617273586. The cubic root of 2355244540 is about 1330.4911860929.

The spelling of 2355244540 in words is "two billion, three hundred fifty-five million, two hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 967 1934 3868 4835 9670 10637 11071 19340 21274 22142 42548 44284 53185 55355 106370 110710 121781 212740 221420 243562 487124 608905 1217810 2435620 10705657 21411314 42822628 53528285 107056570 117762227 214113140 235524454 471048908 588811135 1177622270 2355244540