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22252770 = 2325972549
BaseRepresentation
bin101010011100…
…0110011100010
31112212120001200
41110320303202
521144042040
62112542030
7360100611
oct124706342
945776050
1022252770
1111619921
127551916
1347c1927
142d53878
151e48630
hex1538ce2

22252770 has 48 divisors (see below), whose sum is σ = 58476600. Its totient is φ = 5870592.

The previous prime is 22252757. The next prime is 22252771. The reversal of 22252770 is 7725222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21040569 + 1212201 = 4587^2 + 1101^2 .

It is not an unprimeable number, because it can be changed into a prime (22252771) 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, 7456 + ... + 10004.

Almost surely, 222252770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22252770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238300).

22252770 is an abundant number, since it is smaller than the sum of its proper divisors (36223830).

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

22252770 is a wasteful number, since it uses less digits than its factorization.

22252770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 22252770 is about 4717.2841763031. The cubic root of 22252770 is about 281.2729877507.

Adding to 22252770 its reverse (7725222), we get a palindrome (29977992).

The spelling of 22252770 in words is "twenty-two million, two hundred fifty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2549 2910 4365 5098 7647 8730 12745 15294 22941 25490 38235 45882 76470 114705 229410 247253 494506 741759 1236265 1483518 2225277 2472530 3708795 4450554 7417590 11126385 22252770