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13224202420 = 2251113172983113
BaseRepresentation
bin11000101000011100…
…10101000010110100
31021010121200002100211
430110032111002310
5204040343434140
610024120315204
7645464603002
oct142416250264
937117602324
1013224202420
115676799010
122690912b04
131329981160
148d644ba72
15525e8c2ea
hex3143950b4

13224202420 has 384 divisors, whose sum is σ = 36486858240. Its totient is φ = 3949854720.

The previous prime is 13224202297. The next prime is 13224202489. The reversal of 13224202420 is 2420242231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13224202391 and 13224202400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117028284 + ... + 117028396.

It is an arithmetic number, because the mean of its divisors is an integer number (95017860).

Almost surely, 213224202420 is an apocalyptic number.

13224202420 is a gapful number since it is divisible by the number (10) 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 13224202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243429120).

13224202420 is an abundant number, since it is smaller than the sum of its proper divisors (23262655820).

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

13224202420 is a wasteful number, since it uses less digits than its factorization.

13224202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 13224202420 its reverse (2420242231), we get a palindrome (15644444651).

The spelling of 13224202420 in words is "thirteen billion, two hundred twenty-four million, two hundred two thousand, four hundred twenty".