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212522682840 = 2335131949914369
BaseRepresentation
bin1100010111101101010…
…1101100100111011000
3202022120001220212220120
43011323111230213120
511440221301322330
6241344230353240
721232336666266
oct3057325544730
9668501825816
10212522682840
1182148572166
12352314bb820
131706b84b390
14a4012bb436
1557dca3dc10
hex317b56c9d8

212522682840 has 256 divisors, whose sum is σ = 724248000000. Its totient is φ = 49457184768.

The previous prime is 212522682781. The next prime is 212522682863. The reversal of 212522682840 is 48286225212.

It is a happy number.

It is a super-2 number, since 2×2125226828402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212522682792 and 212522682801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14783176 + ... + 14797544.

It is an arithmetic number, because the mean of its divisors is an integer number (2829093750).

Almost surely, 2212522682840 is an apocalyptic number.

212522682840 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 212522682840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362124000000).

212522682840 is an abundant number, since it is smaller than the sum of its proper divisors (511725317160).

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

212522682840 is a wasteful number, since it uses less digits than its factorization.

212522682840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914 (or 14910 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 212522682840 in words is "two hundred twelve billion, five hundred twenty-two million, six hundred eighty-two thousand, eight hundred forty".