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22142772 = 22321797373
BaseRepresentation
bin101010001110…
…1111100110100
31112122222011200
41110131330310
521132032042
62110332500
7356132121
oct124357464
945588150
1022142772
1111554213
1274ba130
134783842
142d25748
151e25c4c
hex151df34

22142772 has 72 divisors (see below), whose sum is σ = 60035976. Its totient is φ = 6856704.

The previous prime is 22142749. The next prime is 22142797. The reversal of 22142772 is 27724122.

It can be written as a sum of positive squares in 4 ways, for example, as 5788836 + 16353936 = 2406^2 + 4044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59178 + ... + 59550.

It is an arithmetic number, because the mean of its divisors is an integer number (833833).

Almost surely, 222142772 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 22142772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30017988).

22142772 is an abundant number, since it is smaller than the sum of its proper divisors (37893204).

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

22142772 is a wasteful number, since it uses less digits than its factorization.

22142772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 492 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 22142772 is about 4705.6106936295. The cubic root of 22142772 is about 280.8087671064.

Adding to 22142772 its reverse (27724122), we get a palindrome (49866894).

The spelling of 22142772 in words is "twenty-two million, one hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 291 306 373 388 582 612 746 873 1119 1164 1492 1649 1746 2238 3298 3357 3492 4476 4947 6341 6596 6714 9894 12682 13428 14841 19023 19788 25364 29682 36181 38046 57069 59364 72362 76092 108543 114138 144724 217086 228276 325629 434172 615077 651258 1230154 1302516 1845231 2460308 3690462 5535693 7380924 11071386 22142772