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212022230420 = 2257111328373733
BaseRepresentation
bin1100010101110110000…
…0100111110110010100
3202021021012020021020202
43011131200213312110
511433210142333140
6241222432120032
721214052136320
oct3053540476624
9667235207222
10212022230420
1181a11026920
1235111996018
1316cbbc683a0
14a394a48980
1557adb36915
hex315d827d94

212022230420 has 192 divisors, whose sum is σ = 598184649216. Its totient is φ = 60963563520.

The previous prime is 212022230353. The next prime is 212022230443. The reversal of 212022230420 is 24032220212.

212022230420 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 junction number, because it is equal to n+sod(n) for n = 212022230392 and 212022230401.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56794874 + ... + 56798606.

It is an arithmetic number, because the mean of its divisors is an integer number (3115545048).

Almost surely, 2212022230420 is an apocalyptic number.

212022230420 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 212022230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299092324608).

212022230420 is an abundant number, since it is smaller than the sum of its proper divisors (386162418796).

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

212022230420 is a wasteful number, since it uses less digits than its factorization.

212022230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212022230420 its reverse (24032220212), we get a palindrome (236054450632).

The spelling of 212022230420 in words is "two hundred twelve billion, twenty-two million, two hundred thirty thousand, four hundred twenty".