Search a number
-
+
22225640 = 235593937
BaseRepresentation
bin101010011001…
…0001011101000
31112211011211212
41110302023220
521142210030
62112212252
7356625533
oct124621350
945734755
1022225640
11116004a8
12753a088
1347b2488
142d47a1a
151e40595
hex15322e8

22225640 has 32 divisors (see below), whose sum is σ = 50145480. Its totient is φ = 8865792.

The previous prime is 22225639. The next prime is 22225661. The reversal of 22225640 is 4652222.

It can be written as a sum of positive squares in 4 ways, for example, as 13380964 + 8844676 = 3658^2 + 2974^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23252 + ... + 24188.

Almost surely, 222225640 is an apocalyptic number.

22225640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22225640 is an abundant number, since it is smaller than the sum of its proper divisors (27919840).

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

22225640 is a wasteful number, since it uses less digits than its factorization.

22225640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 22225640 is about 4714.4077040494. The cubic root of 22225640 is about 281.1586343555.

Adding to 22225640 its reverse (4652222), we get a palindrome (26877862).

The spelling of 22225640 in words is "twenty-two million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 593 937 1186 1874 2372 2965 3748 4685 4744 5930 7496 9370 11860 18740 23720 37480 555641 1111282 2222564 2778205 4445128 5556410 11112820 22225640