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226632882840 = 2335713109190403
BaseRepresentation
bin1101001100010001011…
…1110101101010011000
3210122222102202022110120
43103010113311222120
512203121004222330
6252040321113240
722242113501520
oct3230427655230
9718872668416
10226632882840
1188129399281
1237b0aa88820
13184a9c32650
14ad7d27c680
155d6668dc10
hex34c45f5a98

226632882840 has 256 divisors, whose sum is σ = 844479820800. Its totient is φ = 47378110464.

The previous prime is 226632882811. The next prime is 226632882893. The reversal of 226632882840 is 48288236622.

226632882840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095079 + ... + 1285481.

It is an arithmetic number, because the mean of its divisors is an integer number (3298749300).

Almost surely, 2226632882840 is an apocalyptic number.

226632882840 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 226632882840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422239910400).

226632882840 is an abundant number, since it is smaller than the sum of its proper divisors (617846937960).

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

226632882840 is a wasteful number, since it uses less digits than its factorization.

226632882840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190546 (or 190542 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 226632882840 in words is "two hundred twenty-six billion, six hundred thirty-two million, eight hundred eighty-two thousand, eight hundred forty".