Search a number
-
+
22328475648 = 21531731431
BaseRepresentation
bin10100110010111000…
…011000000000000000
32010122002222002100120
4110302320120000000
5331212042210043
614131344420240
71420214624433
oct246270300000
963562862316
1022328475648
11951892a266
1243b1917680
13214ac0cc8b
14111b64781a
158aa3b4983
hex532e18000

22328475648 has 256 divisors, whose sum is σ = 65228820480. Its totient is φ = 6763315200.

The previous prime is 22328475641. The next prime is 22328475667. The reversal of 22328475648 is 84657482322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×223284756483 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (5160960) is a multiple of the sum of its prime factors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 22328475648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328475641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51805993 + ... + 51806423.

It is an arithmetic number, because the mean of its divisors is an integer number (254800080).

Almost surely, 222328475648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22328475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32614410240).

22328475648 is an abundant number, since it is smaller than the sum of its proper divisors (42900344832).

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

22328475648 is an equidigital number, since it uses as much as digits as its factorization.

22328475648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 22328475648 in words is "twenty-two billion, three hundred twenty-eight million, four hundred seventy-five thousand, six hundred forty-eight".