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21522142420 = 22543123720231
BaseRepresentation
bin10100000010110100…
…011101010011010100
32001112220201010002221
4110002310131103110
5323034132024140
613515342112124
71361224122622
oct240264352324
961486633087
1021522142420
119144763169
12420787b644
13204cb5051c
141082510512
1585e6db14a
hex502d1d4d4

21522142420 has 48 divisors (see below), whose sum is σ = 46287255168. Its totient is φ = 8401438080.

The previous prime is 21522142393. The next prime is 21522142451. The reversal of 21522142420 is 2424122512.

It is a happy number.

It is a super-2 number, since 2×215221424202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053705 + ... + 1073935.

It is an arithmetic number, because the mean of its divisors is an integer number (964317816).

Almost surely, 221522142420 is an apocalyptic number.

21522142420 is a gapful number since it is divisible by the number (20) 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 21522142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143627584).

21522142420 is an abundant number, since it is smaller than the sum of its proper divisors (24765112748).

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

21522142420 is a wasteful number, since it uses less digits than its factorization.

21522142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21520 (or 21518 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 21522142420 its reverse (2424122512), we get a palindrome (23946264932).

The spelling of 21522142420 in words is "twenty-one billion, five hundred twenty-two million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1237 2474 4948 6185 12370 20231 24740 40462 53191 80924 101155 106382 202310 212764 265955 404620 531910 869933 1063820 1739866 3479732 4349665 8699330 17398660 25025747 50051494 100102988 125128735 250257470 500514940 1076107121 2152214242 4304428484 5380535605 10761071210 21522142420