Search a number
-
+
22231252224 = 28344179331
BaseRepresentation
bin10100101101000101…
…011111110100000000
32010101100000121220000
4110231011133310000
5331012200032344
614113552520000
71414624345266
oct245505376400
963340017800
1022231252224
119478a64925
124385250000
132133a2c21c
14110c77a436
158a1aaca69
hex52d15fd00

22231252224 has 360 divisors, whose sum is σ = 68973717120. Its totient is φ = 7116595200.

The previous prime is 22231252213. The next prime is 22231252229. The reversal of 22231252224 is 42225213222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231252229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67163739 + ... + 67164069.

Almost surely, 222231252224 is an apocalyptic number.

22231252224 is a gapful number since it is divisible by the number (24) 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 22231252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34486858560).

22231252224 is an abundant number, since it is smaller than the sum of its proper divisors (46742464896).

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

22231252224 is an equidigital number, since it uses as much as digits as its factorization.

22231252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 456 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

Adding to 22231252224 its reverse (42225213222), we get a palindrome (64456465446).

The spelling of 22231252224 in words is "twenty-two billion, two hundred thirty-one million, two hundred fifty-two thousand, two hundred twenty-four".