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2260442242440 = 233256279006229
BaseRepresentation
bin100000111001001100110…
…110110101110110001000
322000002121002212120210100
4200321030312311312020
5244013341203224230
64450233254045400
7322211603016234
oct40711466656610
98002532776710
102260442242440
117a1714797368
12306109649860
1313520ab22435
147b5980635c4
153dbec90e660
hex20e4cdb5d88

2260442242440 has 48 divisors (see below), whose sum is σ = 7346437289100. Its totient is φ = 602784597888.

The previous prime is 2260442242397. The next prime is 2260442242451. The reversal of 2260442242440 is 442422440622.

2260442242440 is a `hidden beast` number, since 2 + 2 + 604 + 4 + 2 + 2 + 4 + 2 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2061849015396 + 198593227044 = 1435914^2 + 445638^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2260442242395 and 2260442242404.

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, 3139502755 + ... + 3139503474.

Almost surely, 22260442242440 is an apocalyptic number.

2260442242440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260442242440 is an abundant number, since it is smaller than the sum of its proper divisors (5085995046660).

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

2260442242440 is a wasteful number, since it uses less digits than its factorization.

2260442242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279006246 (or 6279006239 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The spelling of 2260442242440 in words is "two trillion, two hundred sixty billion, four hundred forty-two million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6279006229 12558012458 18837018687 25116024916 31395031145 37674037374 50232049832 56511056061 62790062290 75348074748 94185093435 113022112122 125580124580 150696149496 188370186870 226044224244 251160249160 282555280305 376740373740 452088448488 565110560610 753480747480 1130221121220 2260442242440