Search a number
-
+
21698208 = 2532747229
BaseRepresentation
bin101001011000…
…1011010100000
31111211101100100
41102301122200
521023320313
62053022400
7352301040
oct122613240
944741310
1021698208
1111280204
127324a00
13465939c
142c4b720
151d89173
hex14b16a0

21698208 has 144 divisors (see below), whose sum is σ = 72334080. Its totient is φ = 6041088.

The previous prime is 21698207. The next prime is 21698213. The reversal of 21698208 is 80289612.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×216982082 = 941624460822528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21698203) 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, 94638 + ... + 94866.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 221698208 is an apocalyptic number.

21698208 is a gapful number since it is divisible by the number (28) 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 21698208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167040).

21698208 is an abundant number, since it is smaller than the sum of its proper divisors (50635872).

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

21698208 is a wasteful number, since it uses less digits than its factorization.

21698208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21698208 is about 4658.1335317915. The cubic root of 21698208 is about 278.9167670939.

The spelling of 21698208 in words is "twenty-one million, six hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 229 252 282 288 329 336 376 423 458 504 564 658 672 687 752 846 916 987 1008 1128 1316 1374 1504 1603 1692 1832 1974 2016 2061 2256 2632 2748 2961 3206 3384 3664 3948 4122 4512 4809 5264 5496 5922 6412 6768 7328 7896 8244 9618 10528 10763 10992 11844 12824 13536 14427 15792 16488 19236 21526 21984 23688 25648 28854 31584 32289 32976 38472 43052 47376 51296 57708 64578 65952 75341 76944 86104 94752 96867 115416 129156 150682 153888 172208 193734 226023 230832 258312 301364 344416 387468 452046 461664 516624 602728 678069 774936 904092 1033248 1205456 1356138 1549872 1808184 2410912 2712276 3099744 3616368 5424552 7232736 10849104 21698208