Search a number
-
+
19222656 = 273113443
BaseRepresentation
bin100100101010…
…1000010000000
31100011121112020
41021111002000
514410111111
61524001440
7322250505
oct111250200
940147466
1019222656
11a93a2a2
126530280
133ca066b
1427a54ac
151a4a906
hex1255080

19222656 has 64 divisors (see below), whose sum is σ = 51628320. Its totient is φ = 6336512.

The previous prime is 19222603. The next prime is 19222663. The reversal of 19222656 is 65622291.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43171 + ... + 43613.

Almost surely, 219222656 is an apocalyptic number.

19222656 is a gapful number since it is divisible by the number (16) 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 19222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814160).

19222656 is an abundant number, since it is smaller than the sum of its proper divisors (32405664).

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

19222656 is a wasteful number, since it uses less digits than its factorization.

19222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 19222656 is about 4384.3649483135. The cubic root of 19222656 is about 267.8784627500.

The spelling of 19222656 in words is "nineteen million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 443 452 678 886 904 1329 1356 1772 1808 2658 2712 3544 3616 5316 5424 7088 7232 10632 10848 14176 14464 21264 21696 28352 42528 43392 50059 56704 85056 100118 150177 170112 200236 300354 400472 600708 800944 1201416 1601888 2402832 3203776 4805664 6407552 9611328 19222656