Search a number
-
+
22234231140 = 22351139784857
BaseRepresentation
bin10100101101010000…
…110111000101100100
32010101112121222012020
4110231100313011210
5331013430344030
614114140423140
71414661563212
oct245520670544
963345558166
1022234231140
11947a709a40
124386247ab0
1321345330b4
14110cd13cb2
158a1e9a510
hex52d437164

22234231140 has 96 divisors (see below), whose sum is σ = 68087343744. Its totient is φ = 5376476160.

The previous prime is 22234231087. The next prime is 22234231181. The reversal of 22234231140 is 4113243222.

It is a happy number.

It is a super-2 number, since 2×222342311402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22234231140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219592 + ... + 304448.

It is an arithmetic number, because the mean of its divisors is an integer number (709243164).

Almost surely, 222234231140 is an apocalyptic number.

22234231140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22234231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34043671872).

22234231140 is an abundant number, since it is smaller than the sum of its proper divisors (45853112604).

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

22234231140 is a wasteful number, since it uses less digits than its factorization.

22234231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85277 (or 85275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22234231140 its reverse (4113243222), we get a palindrome (26347474362).

The spelling of 22234231140 in words is "twenty-two billion, two hundred thirty-four million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 397 660 794 1191 1588 1985 2382 3970 4367 4764 5955 7940 8734 11910 13101 17468 21835 23820 26202 43670 52404 65505 84857 87340 131010 169714 254571 262020 339428 424285 509142 848570 933427 1018284 1272855 1697140 1866854 2545710 2800281 3733708 4667135 5091420 5600562 9334270 11201124 14001405 18668540 28002810 33688229 56005620 67376458 101064687 134752916 168441145 202129374 336882290 370570519 404258748 505323435 673764580 741141038 1010646870 1111711557 1482282076 1852852595 2021293740 2223423114 3705705190 4446846228 5558557785 7411410380 11117115570 22234231140