Search a number
-
+
22306019904 = 2632741272
BaseRepresentation
bin10100110001100010…
…101101101001000000
32010120112201012212100
4110301202231221000
5331140320114104
614125223230400
71416523020000
oct246142555100
963515635770
1022306019904
1195071919a3
1243a62a8400
132146379b5c
141118680000
158a842b139
hex5318ada40

22306019904 has 315 divisors, whose sum is σ = 75179699907. Its totient is φ = 6322966272.

The previous prime is 22306019887. The next prime is 22306019909. The reversal of 22306019904 is 40991060322.

The square root of 22306019904 is 149352.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22306019909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 175637889 + ... + 175638015.

Almost surely, 222306019904 is an apocalyptic number.

22306019904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22306019904 is the 149352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22306019904

22306019904 is an abundant number, since it is smaller than the sum of its proper divisors (52873680003).

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

22306019904 is an frugal number, since it uses more digits than its factorization.

22306019904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 22306019904 by its sum of digits (36), we get a square (803016716544 = 8961122).

22306019904 divided by its sum of digits (36) gives a square (619611664 = 248922).

The spelling of 22306019904 in words is "twenty-two billion, three hundred six million, nineteen thousand, nine hundred four".