Search a number
-
+
212751562500 = 223458412
BaseRepresentation
bin1100011000100011111…
…0110011011100000100
3202100011000121011210000
43012020332303130010
511441203400000000
6241423044201300
721241116305031
oct3061076633404
9670130534700
10212751562500
118225578a904
1235296099230
13170a70a7729
14a42385a388
155802ba0000
hex3188fb3704

212751562500 has 405 divisors, whose sum is σ = 712588014061. Its totient is φ = 55350000000.

The previous prime is 212751562493. The next prime is 212751562511. The reversal of 212751562500 is 5265157212.

The square root of 212751562500 is 461250.

It is a perfect power (a square), and thus also a powerful number.

212751562500 is a `hidden beast` number, since 2 + 1 + 27 + 5 + 1 + 5 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 24506650116 + 188244912384 = 156546^2 + 433872^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5189062480 + ... + 5189062520.

Almost surely, 2212751562500 is an apocalyptic number.

212751562500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212751562500 is the 461250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212751562500

212751562500 is an abundant number, since it is smaller than the sum of its proper divisors (499836451561).

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

212751562500 is an frugal number, since it uses more digits than its factorization.

212751562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 212751562500 by its sum of digits (36), we get a square (7659056250000 = 27675002).

212751562500 divided by its sum of digits (36) gives a square (5909765625 = 768752).

The spelling of 212751562500 in words is "two hundred twelve billion, seven hundred fifty-one million, five hundred sixty-two thousand, five hundred".