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21052224 = 263431131
BaseRepresentation
bin101000001001…
…1101101000000
31110121120020000
41100103231000
520342132344
62031120000
7343640514
oct120235500
943546200
1021052224
1110979936
127073000
13449134b
142b20144
151caca69
hex1413b40

21052224 has 140 divisors (see below), whose sum is σ = 64910208. Its totient is φ = 6739200.

The previous prime is 21052219. The next prime is 21052243. The reversal of 21052224 is 42225012.

It is a super-2 number, since 2×210522242 = 886392270692352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21052197 and 21052206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160639 + ... + 160769.

Almost surely, 221052224 is an apocalyptic number.

21052224 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 21052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455104).

21052224 is an abundant number, since it is smaller than the sum of its proper divisors (43857984).

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

21052224 is a wasteful number, since it uses less digits than its factorization.

21052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 21052224 is about 4588.2702623102. The cubic root of 21052224 is about 276.1209299933.

Adding to 21052224 its reverse (42225012), we get a palindrome (63277236).

The spelling of 21052224 in words is "twenty-one million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 131 144 162 186 192 216 248 262 279 288 324 372 393 432 496 524 558 576 648 744 786 837 864 992 1048 1116 1179 1296 1488 1572 1674 1728 1984 2096 2232 2358 2511 2592 2976 3144 3348 3537 4061 4192 4464 4716 5022 5184 5952 6288 6696 7074 8122 8384 8928 9432 10044 10611 12183 12576 13392 14148 16244 17856 18864 20088 21222 24366 25152 26784 28296 32488 36549 37728 40176 42444 48732 53568 56592 64976 73098 75456 80352 84888 97464 109647 113184 129952 146196 160704 169776 194928 219294 226368 259904 292392 328941 339552 389856 438588 584784 657882 679104 779712 877176 1169568 1315764 1754352 2339136 2631528 3508704 5263056 7017408 10526112 21052224