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2352225540 = 223575600537
BaseRepresentation
bin1000110000110100…
…0001110100000100
320001221010102211110
42030031001310010
514304132204130
61025224205020
7112201405260
oct21415016404
96057112743
102352225540
11aa7851955
12557909770
132b642c542
141845850a0
15db78aab0
hex8c341d04

2352225540 has 48 divisors (see below), whose sum is σ = 7527123072. Its totient is φ = 537651456.

The previous prime is 2352225539. The next prime is 2352225541. The reversal of 2352225540 is 455222532.

It is an interprime number because it is at equal distance from previous prime (2352225539) and next prime (2352225541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2352225498 and 2352225507.

It is not an unprimeable number, because it can be changed into a prime (2352225541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2799849 + ... + 2800688.

It is an arithmetic number, because the mean of its divisors is an integer number (156815064).

Almost surely, 22352225540 is an apocalyptic number.

2352225540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2352225540 is an abundant number, since it is smaller than the sum of its proper divisors (5174897532).

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

2352225540 is a wasteful number, since it uses less digits than its factorization.

2352225540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600556 (or 5600554 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2352225540 is about 48499.7478343960. The cubic root of 2352225540 is about 1329.9224595343.

The spelling of 2352225540 in words is "two billion, three hundred fifty-two million, two hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5600537 11201074 16801611 22402148 28002685 33603222 39203759 56005370 67206444 78407518 84008055 112010740 117611277 156815036 168016110 196018795 235222554 336032220 392037590 470445108 588056385 784075180 1176112770 2352225540