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21219744 = 2537213347
BaseRepresentation
bin101000011110…
…0100110100000
31110221002000110
41100330212200
520413012434
62034451320
7345236100
oct120744640
943832013
1021219744
1110a83787
127133b40
13451c680
142b65200
151ce24e9
hex143c9a0

21219744 has 144 divisors (see below), whose sum is σ = 69981408. Its totient is φ = 5580288.

The previous prime is 21219727. The next prime is 21219749. The reversal of 21219744 is 44791212.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21219749) 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, 60979 + ... + 61325.

It is an arithmetic number, because the mean of its divisors is an integer number (485982).

Almost surely, 221219744 is an apocalyptic number.

21219744 is a gapful number since it is divisible by the number (24) 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 21219744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34990704).

21219744 is an abundant number, since it is smaller than the sum of its proper divisors (48761664).

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

21219744 is a wasteful number, since it uses less digits than its factorization.

21219744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 21219744 is about 4606.4893357089. The cubic root of 21219744 is about 276.8513932216.

The spelling of 21219744 in words is "twenty-one million, two hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 347 364 392 416 546 588 624 637 672 694 728 784 1041 1092 1176 1248 1274 1388 1456 1568 1911 2082 2184 2352 2429 2548 2776 2912 3822 4164 4368 4511 4704 4858 5096 5552 7287 7644 8328 8736 9022 9716 10192 11104 13533 14574 15288 16656 17003 18044 19432 20384 27066 29148 30576 31577 33312 34006 36088 38864 51009 54132 58296 61152 63154 68012 72176 77728 94731 102018 108264 116592 126308 136024 144352 189462 204036 216528 221039 233184 252616 272048 378924 408072 433056 442078 505232 544096 663117 757848 816144 884156 1010464 1326234 1515696 1632288 1768312 2652468 3031392 3536624 5304936 7073248 10609872 21219744