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13922800 = 245234807
BaseRepresentation
bin110101000111…
…000111110000
3222012100111021
4311013013300
512031012200
61214225224
7226225153
oct65070760
928170437
1013922800
11794a451
1247b5214
132b66258
141bc5c9a
15135041a
hexd471f0

13922800 has 30 divisors (see below), whose sum is σ = 33450488. Its totient is φ = 5568960.

The previous prime is 13922773. The next prime is 13922803. The reversal of 13922800 is 822931.

13922800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13922803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17004 + ... + 17803.

Almost surely, 213922800 is an apocalyptic number.

13922800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13922800 is an abundant number, since it is smaller than the sum of its proper divisors (19527688).

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

13922800 is a wasteful number, since it uses less digits than its factorization.

13922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34825 (or 34814 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 13922800 is about 3731.3268417548. The cubic root of 13922800 is about 240.5704025226.

The spelling of 13922800 in words is "thirteen million, nine hundred twenty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 34807 69614 139228 174035 278456 348070 556912 696140 870175 1392280 1740350 2784560 3480700 6961400 13922800