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13223484700 = 2252438873467
BaseRepresentation
bin11000101000010111…
…00101110100011100
31021010120022121211121
430110023211310130
5204040203002300
610024053100324
7645455523346
oct142413456434
937116277747
1013223484700
115676348858
1226906276a4
13132978c57a
148d6302296
15525d9981a
hex3142e5d1c

13223484700 has 72 divisors (see below), whose sum is σ = 29403868032. Its totient is φ = 5159071680.

The previous prime is 13223484667. The next prime is 13223484707. The reversal of 13223484700 is 748432231.

It is a super-4 number, since 4×132234847004 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223484707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3812367 + ... + 3815833.

It is an arithmetic number, because the mean of its divisors is an integer number (408387056).

Almost surely, 213223484700 is an apocalyptic number.

13223484700 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 13223484700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701934016).

13223484700 is an abundant number, since it is smaller than the sum of its proper divisors (16180383332).

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

13223484700 is a wasteful number, since it uses less digits than its factorization.

13223484700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 13223484700 in words is "thirteen billion, two hundred twenty-three million, four hundred eighty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 887 1075 1774 2150 3467 3548 4300 4435 6934 8870 13868 17335 17740 22175 34670 38141 44350 69340 76282 86675 88700 149081 152564 173350 190705 298162 346700 381410 596324 745405 762820 953525 1490810 1907050 2981620 3075229 3727025 3814100 6150458 7454050 12300916 14908100 15376145 30752290 61504580 76880725 132234847 153761450 264469694 307522900 528939388 661174235 1322348470 2644696940 3305871175 6611742350 13223484700