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15214005200 = 245238035013
BaseRepresentation
bin11100010101101001…
…10100101111010000
31110021021211112122002
432022310310233100
5222124241131300
610553400533132
71046005624202
oct161264645720
943237745562
1015214005200
1164a7a00319
122b471811a8
131585c97c54
14a44810772
155e09d85d5
hex38ad34bd0

15214005200 has 30 divisors (see below), whose sum is σ = 36551648454. Its totient is φ = 6085601920.

The previous prime is 15214005199. The next prime is 15214005203. The reversal of 15214005200 is 250041251.

15214005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1700407696 + 13513597504 = 41236^2 + 116248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15214005203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19017107 + ... + 19017906.

Almost surely, 215214005200 is an apocalyptic number.

15214005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15214005200 is an abundant number, since it is smaller than the sum of its proper divisors (21337643254).

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

15214005200 is a wasteful number, since it uses less digits than its factorization.

15214005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38035031 (or 38035020 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 15214005200 its reverse (250041251), we get a palindrome (15464046451).

The spelling of 15214005200 in words is "fifteen billion, two hundred fourteen million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 38035013 76070026 152140052 190175065 304280104 380350130 608560208 760700260 950875325 1521400520 1901750650 3042801040 3803501300 7607002600 15214005200