Search a number
-
+
22021376 = 28132509
BaseRepresentation
bin101010000000…
…0010100000000
31112102210122112
41110000110000
521114141001
62103554452
7355115156
oct124002400
945383575
1022021376
1111480a93
12745ba28
134740500
142cd33d6
151deecbb
hex1500500

22021376 has 54 divisors (see below), whose sum is σ = 47691630. Its totient is φ = 10143744.

The previous prime is 22021367. The next prime is 22021393. The reversal of 22021376 is 67312022.

It can be written as a sum of positive squares in 3 ways, for example, as 640000 + 21381376 = 800^2 + 4624^2 .

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 5 ways as a sum of consecutive naturals, for example, 43010 + ... + 43518.

Almost surely, 222021376 is an apocalyptic number.

22021376 is a gapful number since it is divisible by the number (26) 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 22021376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23845815).

22021376 is an abundant number, since it is smaller than the sum of its proper divisors (25670254).

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

22021376 is an equidigital number, since it uses as much as digits as its factorization.

22021376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 22021376 is about 4692.6938958342. The cubic root of 22021376 is about 280.2946557989.

Adding to 22021376 its reverse (67312022), we get a palindrome (89333398).

The spelling of 22021376 in words is "twenty-two million, twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 509 676 832 1018 1352 1664 2036 2704 3328 4072 5408 6617 8144 10816 13234 16288 21632 26468 32576 43264 52936 65152 86021 105872 130304 172042 211744 344084 423488 688168 846976 1376336 1693952 2752672 5505344 11010688 22021376