Search a number
-
+
22313124540 = 22335737159539
BaseRepresentation
bin10100110001111101…
…110100001010111100
32010121001002011121000
4110301331310022330
5331144124441130
614130035410300
71416640300140
oct246175641274
963531064530
1022313124540
1195101a47a3
1243a8753990
132147996895
1411195ad220
158a8d81260
hex531f742bc

22313124540 has 192 divisors, whose sum is σ = 81480268800. Its totient is φ = 4962269952.

The previous prime is 22313124521. The next prime is 22313124611. The reversal of 22313124540 is 4542131322.

It is a super-3 number, since 3×223131245403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60091 + ... + 219629.

It is an arithmetic number, because the mean of its divisors is an integer number (424376400).

Almost surely, 222313124540 is an apocalyptic number.

22313124540 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 22313124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40740134400).

22313124540 is an abundant number, since it is smaller than the sum of its proper divisors (59167144260).

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

22313124540 is a wasteful number, since it uses less digits than its factorization.

22313124540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159601 (or 159593 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22313124540 its reverse (4542131322), we get a palindrome (26855255862).

The spelling of 22313124540 in words is "twenty-two billion, three hundred thirteen million, one hundred twenty-four thousand, five hundred forty".