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214796100000 = 25355372523
BaseRepresentation
bin1100100000001011011…
…0000110000110100000
3202112102111202102222010
43020002312012012200
512004400300200000
6242402001512520
721342563503536
oct3100266060640
9675374672863
10214796100000
1183104887119
1235766942740
1317341846a31
14a5791ca156
1558c240dd50
hex3202d861a0

214796100000 has 432 divisors, whose sum is σ = 725701739616. Its totient is φ = 55624320000.

The previous prime is 214796099983. The next prime is 214796100007. The reversal of 214796100000 is 1697412.

It is a happy number.

It is a super-2 number, since 2×2147961000002 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214796100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410699739 + ... + 410700261.

It is an arithmetic number, because the mean of its divisors is an integer number (1679865138).

Almost surely, 2214796100000 is an apocalyptic number.

214796100000 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 214796100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362850869808).

214796100000 is an abundant number, since it is smaller than the sum of its proper divisors (510905639616).

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

214796100000 is an frugal number, since it uses more digits than its factorization.

214796100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 214796100000 its reverse (1697412), we get a palindrome (214797797412).

The spelling of 214796100000 in words is "two hundred fourteen billion, seven hundred ninety-six million, one hundred thousand".