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21332224400 = 2452531006237
BaseRepresentation
bin10011110111011111…
…111110100110010000
32001001200100021120012
4103313133332212100
5322142022140100
613444435334052
71353426626024
oct236737764620
961050307505
1021332224400
119057536a23
124174151328
13201c6b61b6
1410651d4384
1584cbc4135
hex4f77fe990

21332224400 has 60 divisors (see below), whose sum is σ = 52217714772. Its totient is φ = 8371883520.

The previous prime is 21332224387. The next prime is 21332224423. The reversal of 21332224400 is 442223312.

It can be written as a sum of positive squares in 6 ways, for example, as 859193344 + 20473031056 = 29312^2 + 143084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481919 + ... + 524318.

Almost surely, 221332224400 is an apocalyptic number.

21332224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332224400 is an abundant number, since it is smaller than the sum of its proper divisors (30885490372).

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

21332224400 is a wasteful number, since it uses less digits than its factorization.

21332224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006308 (or 1006297 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 21332224400 its reverse (442223312), we get a palindrome (21774447712).

The spelling of 21332224400 in words is "twenty-one billion, three hundred thirty-two million, two hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 1006237 2012474 4024948 5031185 8049896 10062370 16099792 20124740 25155925 40249480 50311850 53330561 80498960 100623700 106661122 201247400 213322244 266652805 402494800 426644488 533305610 853288976 1066611220 1333264025 2133222440 2666528050 4266444880 5333056100 10666112200 21332224400