Search a number
-
+
22025216 = 210137157
BaseRepresentation
bin101010000000…
…1010000000000
31112102222220202
41110001100000
521114301331
62104024332
7355132313
oct124012000
945388822
1022025216
1111483964
1274620a8
134742195
142cd497a
151e00ecb
hex1501400

22025216 has 44 divisors (see below), whose sum is σ = 44632788. Its totient is φ = 10862592.

The previous prime is 22025207. The next prime is 22025233. The reversal of 22025216 is 61252022.

It can be written as a sum of positive squares in 2 ways, for example, as 9634816 + 12390400 = 3104^2 + 3520^2 .

It is a super-2 number, since 2×220252162 = 970220279693312, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140210 + ... + 140366.

Almost surely, 222025216 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 22025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22316394).

22025216 is an abundant number, since it is smaller than the sum of its proper divisors (22607572).

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

22025216 is a wasteful number, since it uses less digits than its factorization.

22025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 22025216 is about 4693.1030246522. The cubic root of 22025216 is about 280.3109470746.

Adding to 22025216 its reverse (61252022), we get a palindrome (83277238).

The spelling of 22025216 in words is "twenty-two million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 137 157 256 274 314 512 548 628 1024 1096 1256 2192 2512 4384 5024 8768 10048 17536 20096 21509 35072 40192 43018 70144 80384 86036 140288 160768 172072 344144 688288 1376576 2753152 5506304 11012608 22025216