Search a number
-
+
22264704 = 2732711251
BaseRepresentation
bin101010011101…
…1101110000000
31112220011102200
41110323232000
521144432304
62113113200
7360150450
oct124735600
945804380
1022264704
1111627890
127558800
1347c71a7
142d57d60
151e4be39
hex153bb80

22264704 has 192 divisors, whose sum is σ = 80196480. Its totient is φ = 5760000.

The previous prime is 22264691. The next prime is 22264709. The reversal of 22264704 is 40746222.

22264704 = 1582 + 1592 + ... + 4132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22264709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88579 + ... + 88829.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 222264704 is an apocalyptic number.

22264704 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 22264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

22264704 is an abundant number, since it is smaller than the sum of its proper divisors (57931776).

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

22264704 is a wasteful number, since it uses less digits than its factorization.

22264704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 22264704 is about 4718.5489294909. The cubic root of 22264704 is about 281.3232603228.

The spelling of 22264704 in words is "twenty-two million, two hundred sixty-four thousand, seven hundred four".