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13222069440 = 2635671991033
BaseRepresentation
bin11000101000001100…
…01100010011000000
31021010110122201110120
430110012030103000
5204034322210230
610024002500240
7645440510256
oct142406142300
937113581416
1013222069440
115675571518
122690064680
1313293b5338
148d60545d6
15525bba310
hex31418c4c0

13222069440 has 224 divisors, whose sum is σ = 42862195200. Its totient is φ = 3452461056.

The previous prime is 13222069417. The next prime is 13222069453. The reversal of 13222069440 is 4496022231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12799164 + ... + 12800196.

Almost surely, 213222069440 is an apocalyptic number.

13222069440 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 13222069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431097600).

13222069440 is an abundant number, since it is smaller than the sum of its proper divisors (29640125760).

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

13222069440 is a wasteful number, since it uses less digits than its factorization.

13222069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 13222069440 in words is "thirteen billion, two hundred twenty-two million, sixty-nine thousand, four hundred forty".