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2229139528560 = 243357261379911
BaseRepresentation
bin100000011100000011000…
…100011101101101110000
321220002210120021221221000
4200130003010131231300
5243010234204403220
64424015204202000
7320023104234600
oct40340304355560
97802716257830
102229139528560
1178a41117209a
12300032399300
1313228c8b2029
1479c689ccc00
153ceb975b390
hex2070311db70

2229139528560 has 960 divisors, whose sum is σ = 9112088217600. Its totient is φ = 499293849600.

The previous prime is 2229139528531. The next prime is 2229139528607. The reversal of 2229139528560 is 658259319222.

It is a happy number.

2229139528560 is a `hidden beast` number, since 2 + 2 + 29 + 1 + 3 + 9 + 52 + 8 + 560 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2229139528497 and 2229139528506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2446914505 + ... + 2446915415.

It is an arithmetic number, because the mean of its divisors is an integer number (9491758560).

Almost surely, 22229139528560 is an apocalyptic number.

2229139528560 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 2229139528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556044108800).

2229139528560 is an abundant number, since it is smaller than the sum of its proper divisors (6882948689040).

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

2229139528560 is a wasteful number, since it uses less digits than its factorization.

2229139528560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2229139528560 in words is "two trillion, two hundred twenty-nine billion, one hundred thirty-nine million, five hundred twenty-eight thousand, five hundred sixty".