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21199288 = 23111931409
BaseRepresentation
bin101000011011…
…1100110111000
31110220000221211
41100313212320
520411334123
62034212504
7345122335
oct120674670
943800854
1021199288
1110a6a380
127124134
134513276
142b5b98c
151cdb40d
hex14379b8

21199288 has 64 divisors (see below), whose sum is σ = 47232000. Its totient is φ = 8812800.

The previous prime is 21199259. The next prime is 21199327. The reversal of 21199288 is 88299112.

It is a self number, because there is not a number n which added to its sum of digits gives 21199288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51628 + ... + 52036.

It is an arithmetic number, because the mean of its divisors is an integer number (738000).

Almost surely, 221199288 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 21199288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23616000).

21199288 is an abundant number, since it is smaller than the sum of its proper divisors (26032712).

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

21199288 is a wasteful number, since it uses less digits than its factorization.

21199288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its digits is 20736, while the sum is 40.

The square root of 21199288 is about 4604.2684543801. The cubic root of 21199288 is about 276.7624023131.

It can be divided in two parts, 2119928 and 8, that added together give a square (2119936 = 14562).

The spelling of 21199288 in words is "twenty-one million, one hundred ninety-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 341 409 418 589 682 818 836 1178 1364 1636 1672 2356 2728 3272 4499 4712 6479 7771 8998 12679 12958 15542 17996 25358 25916 31084 35992 50716 51832 62168 85481 101432 139469 170962 240901 278938 341924 481802 557876 683848 963604 1115752 1927208 2649911 5299822 10599644 21199288