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212412200022 = 232111072788889
BaseRepresentation
bin1100010111010011000…
…0001111010001010110
3202022021101000202222100
43011310300033101112
511440010010400042
6241325242342530
721226525624041
oct3056460172126
9668241022870
10212412200022
11820a1170850
12352004baa46
13170519a7329
14a3d075bc58
1557d2eb824c
hex3174c0f456

212412200022 has 24 divisors (see below), whose sum is σ = 502065200520. Its totient is φ = 64367333280.

The previous prime is 212412200003. The next prime is 212412200023. The reversal of 212412200022 is 220002214212.

212412200022 is a `hidden beast` number, since 212 + 412 + 20 + 0 + 0 + 22 = 666.

It is a super-2 number, since 2×2124122000222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212412199968 and 212412200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412200023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536394247 + ... + 536394642.

It is an arithmetic number, because the mean of its divisors is an integer number (20919383355).

Almost surely, 2212412200022 is an apocalyptic number.

212412200022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212412200022 is an abundant number, since it is smaller than the sum of its proper divisors (289653000498).

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

212412200022 is a wasteful number, since it uses less digits than its factorization.

212412200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072788908 (or 1072788905 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212412200022 its reverse (220002214212), we get a palindrome (432414414234).

The spelling of 212412200022 in words is "two hundred twelve billion, four hundred twelve million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1072788889 2145577778 3218366667 6436733334 9655100001 11800677779 19310200002 23601355558 35402033337 70804066674 106206100011 212412200022