Search a number
-
+
22324251040 = 255731322983
BaseRepresentation
bin10100110010101000…
…010000100110100000
32010121211000110021121
4110302220100212200
5331210002013130
614131114102024
71420134001000
oct246250204640
963554013247
1022324251040
119516504253
1243b041a914
13214a091100
14111ac68000
158a9d2cd7a
hex532a109a0

22324251040 has 576 divisors, whose sum is σ = 69727392000. Its totient is φ = 6739439616.

The previous prime is 22324250941. The next prime is 22324251043. The reversal of 22324251040 is 4015242322.

It is a super-3 number, since 3×223242510403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22324250996 and 22324251014.

It is not an unprimeable number, because it can be changed into a prime (22324251043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268966839 + ... + 268966921.

It is an arithmetic number, because the mean of its divisors is an integer number (121054500).

Almost surely, 222324251040 is an apocalyptic number.

22324251040 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 22324251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863696000).

22324251040 is an abundant number, since it is smaller than the sum of its proper divisors (47403140960).

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

22324251040 is a wasteful number, since it uses less digits than its factorization.

22324251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 22324251040 its reverse (4015242322), we get a palindrome (26339493362).

The spelling of 22324251040 in words is "twenty-two billion, three hundred twenty-four million, two hundred fifty-one thousand, forty".