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13228236400 = 2452269122939
BaseRepresentation
bin11000101000111011…
…01101111001110000
31021010220021000221111
430110131231321300
5204042412031100
610024343003104
7645544103611
oct142435557160
937126230844
1013228236400
115678aa3885
122692139494
13132a764322
148d6bbbc08
155264d76ba
hex31476de70

13228236400 has 60 divisors (see below), whose sum is σ = 31899241800. Its totient is φ = 5271581440.

The previous prime is 13228236391. The next prime is 13228236421. The reversal of 13228236400 is 463282231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46131 + ... + 169069.

It is an arithmetic number, because the mean of its divisors is an integer number (531654030).

Almost surely, 213228236400 is an apocalyptic number.

13228236400 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 13228236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949620900).

13228236400 is an abundant number, since it is smaller than the sum of its proper divisors (18671005400).

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

13228236400 is a wasteful number, since it uses less digits than its factorization.

13228236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123226 (or 123215 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 13228236400 in words is "thirteen billion, two hundred twenty-eight million, two hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 269 400 538 1076 1345 2152 2690 4304 5380 6725 10760 13450 21520 26900 53800 107600 122939 245878 491756 614695 983512 1229390 1967024 2458780 3073475 4917560 6146950 9835120 12293900 24587800 33070591 49175600 66141182 132282364 165352955 264564728 330705910 529129456 661411820 826764775 1322823640 1653529550 2645647280 3307059100 6614118200 13228236400