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22340111040 = 2634513167397
BaseRepresentation
bin10100110011100100…
…110000101011000000
32010122220212020010000
4110303210300223000
5331223032023130
614132442040000
71420415545032
oct246344605300
963586766100
1022340111040
119524457095
1243b57a9000
132150455020
14111cdd5c52
158ab412260
hex533930ac0

22340111040 has 560 divisors, whose sum is σ = 86309923392. Its totient is φ = 5452406784.

The previous prime is 22340110973. The next prime is 22340111047. The reversal of 22340111040 is 4011104322.

22340111040 is a `hidden beast` number, since 223 + 401 + 1 + 1 + 0 + 40 = 666.

It is a super-2 number, since 2×223401110402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22340111047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56272122 + ... + 56272518.

Almost surely, 222340111040 is an apocalyptic number.

22340111040 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 22340111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43154961696).

22340111040 is an abundant number, since it is smaller than the sum of its proper divisors (63969812352).

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

22340111040 is a wasteful number, since it uses less digits than its factorization.

22340111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22340111040 its reverse (4011104322), we get a palindrome (26351215362).

The spelling of 22340111040 in words is "twenty-two billion, three hundred forty million, one hundred eleven thousand, forty".