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21352023224 = 23721915831811
BaseRepresentation
bin10011111000101011…
…100000010010111000
32001010001121011102222
4103320223200102320
5322212104220344
613450423543212
71354060126400
oct237053402270
961101534388
1021352023224
11906772a094
12417a8bab08
132023828b8c
141067aa9800
1584e7d55ee
hex4f8ae04b8

21352023224 has 96 divisors (see below), whose sum is σ = 49080556800. Its totient is φ = 8658982080.

The previous prime is 21352023211. The next prime is 21352023229. The reversal of 21352023224 is 42232025312.

It is a junction number, because it is equal to n+sod(n) for n = 21352023193 and 21352023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21352023229) 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, 11789279 + ... + 11791089.

It is an arithmetic number, because the mean of its divisors is an integer number (511255800).

Almost surely, 221352023224 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 21352023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540278400).

21352023224 is an abundant number, since it is smaller than the sum of its proper divisors (27728533576).

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

21352023224 is a wasteful number, since it uses less digits than its factorization.

21352023224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 21352023224 its reverse (42232025312), we get a palindrome (63584048536).

The spelling of 21352023224 in words is "twenty-one billion, three hundred fifty-two million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1583 1811 1862 3166 3622 3724 6332 7244 7448 11081 12664 12677 14488 22162 25354 30077 34409 44324 50708 60154 68818 77567 88648 88739 101416 120308 137636 155134 177478 210539 240616 240863 275272 310268 354956 421078 481726 620536 709912 842156 963452 1473773 1684312 1686041 1926904 2866813 2947546 3372082 5733626 5895092 6744164 11467252 11790184 13488328 20067691 22934504 40135382 54469447 80270764 108938894 140473837 160541528 217877788 280947674 381286129 435755576 561895348 762572258 1123790696 1525144516 2669002903 3050289032 5338005806 10676011612 21352023224