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22241131000 = 2353112397463
BaseRepresentation
bin10100101101101011…
…001011100111111000
32010102000121112000121
4110231223023213320
5331022212143000
614114544343024
71415104331344
oct245553134770
963360545017
1022241131000
1194835a1a00
124388614a74
132135aaa85a
14110dbcc624
158a28aeb1a
hex52dacb9f8

22241131000 has 192 divisors, whose sum is σ = 57473619840. Its totient is φ = 8049888000.

The previous prime is 22241130983. The next prime is 22241131001. The reversal of 22241131000 is 13114222.

It is a super-2 number, since 2×222411310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241131001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48036769 + ... + 48037231.

It is an arithmetic number, because the mean of its divisors is an integer number (299341770).

Almost surely, 222241131000 is an apocalyptic number.

22241131000 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 22241131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28736809920).

22241131000 is an abundant number, since it is smaller than the sum of its proper divisors (35232488840).

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

22241131000 is a wasteful number, since it uses less digits than its factorization.

22241131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22241131000 its reverse (13114222), we get a palindrome (22254245222).

The spelling of 22241131000 in words is "twenty-two billion, two hundred forty-one million, one hundred thirty-one thousand".