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212212033400 = 23521129939823
BaseRepresentation
bin1100010110100011010…
…0101010011101111000
3202021202102101020222202
43011220310222131320
511434102240032100
6241253332205332
721221545343633
oct3055064523570
9667672336882
10212212033400
1181aa9184694
1235165469848
131701c392243
14a3b1d34c1a
1557c06297d5
hex3168d2a778

212212033400 has 48 divisors (see below), whose sum is σ = 493830520800. Its totient is φ = 84809537280.

The previous prime is 212212033399. The next prime is 212212033403. The reversal of 212212033400 is 4330212212.

212212033400 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212033403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244112 + ... + 695711.

It is an arithmetic number, because the mean of its divisors is an integer number (10288135850).

Almost surely, 2212212033400 is an apocalyptic number.

212212033400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212033400 is an abundant number, since it is smaller than the sum of its proper divisors (281618487400).

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

212212033400 is a wasteful number, since it uses less digits than its factorization.

212212033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940968 (or 940959 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212212033400 its reverse (4330212212), we get a palindrome (216542245612).

The spelling of 212212033400 in words is "two hundred twelve billion, two hundred twelve million, thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1129 2258 4516 5645 9032 11290 22580 28225 45160 56450 112900 225800 939823 1879646 3759292 4699115 7518584 9398230 18796460 23495575 37592920 46991150 93982300 187964600 1061060167 2122120334 4244240668 5305300835 8488481336 10610601670 21221203340 26526504175 42442406680 53053008350 106106016700 212212033400