Search a number
-
+
22352500240 = 245739915179
BaseRepresentation
bin10100110100010100…
…000001011000010000
32010200210011122220021
4110310110001120100
5331234220001430
614134003353224
71420626055120
oct246424013020
963623148807
1022352500240
1195304492a4
1243b9982814
132152ba2205
1411208dcc80
158ac55d07a
hex534501610

22352500240 has 40 divisors (see below), whose sum is σ = 59393787840. Its totient is φ = 7663714176.

The previous prime is 22352500193. The next prime is 22352500243. The reversal of 22352500240 is 4200525322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22352500243) 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 7 ways as a sum of consecutive naturals, for example, 19957030 + ... + 19958149.

It is an arithmetic number, because the mean of its divisors is an integer number (1484844696).

Almost surely, 222352500240 is an apocalyptic number.

22352500240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22352500240 is an abundant number, since it is smaller than the sum of its proper divisors (37041287600).

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

22352500240 is a wasteful number, since it uses less digits than its factorization.

22352500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39915199 (or 39915193 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 22352500240 in words is "twenty-two billion, three hundred fifty-two million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 39915179 79830358 159660716 199575895 279406253 319321432 399151790 558812506 638642864 798303580 1117625012 1397031265 1596607160 2235250024 2794062530 3193214320 4470500048 5588125060 11176250120 22352500240