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212441040200 = 23521062205201
BaseRepresentation
bin1100010111011001111…
…0010000010101001000
3202022100101022000021002
43011312132100111020
511440034401241300
6241332152434132
721230326022144
oct3056636202510
9668311260232
10212441040200
1182106479904
123520a0a8948
131705796441c
14a3d4508224
1557d57b35d5
hex3176790548

212441040200 has 24 divisors (see below), whose sum is σ = 493925418930. Its totient is φ = 84976416000.

The previous prime is 212441040197. The next prime is 212441040233. The reversal of 212441040200 is 2040144212.

It can be written as a sum of positive squares in 3 ways, for example, as 103024308676 + 109416731524 = 320974^2 + 330782^2 .

It is a super-2 number, since 2×2124410402002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 531102401 + ... + 531102800.

Almost surely, 2212441040200 is an apocalyptic number.

212441040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212441040200 is an abundant number, since it is smaller than the sum of its proper divisors (281484378730).

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

212441040200 is a wasteful number, since it uses less digits than its factorization.

212441040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062205217 (or 1062205208 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212441040200 its reverse (2040144212), we get a palindrome (214481184412).

The spelling of 212441040200 in words is "two hundred twelve billion, four hundred forty-one million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1062205201 2124410402 4248820804 5311026005 8497641608 10622052010 21244104020 26555130025 42488208040 53110260050 106220520100 212441040200