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212530275540 = 2232511315958687
BaseRepresentation
bin1100010111101111001…
…0101010010011010100
3202022120121012122010200
43011323302222103110
511440230222304130
6241345101220500
721232461351402
oct3057362522324
9668517178120
10212530275540
1182151888720
1235233b61730
13170702a92bb
14a4022d6472
1557dd53d760
hex317bcaa4d4

212530275540 has 288 divisors, whose sum is σ = 738285649920. Its totient is φ = 49014547200.

The previous prime is 212530275533. The next prime is 212530275569. The reversal of 212530275540 is 45572035212.

212530275540 is a `hidden beast` number, since 2 + 1 + 2 + 530 + 2 + 75 + 54 + 0 = 666.

It is a super-2 number, since 2×2125302755402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212530275495 and 212530275504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3592077 + ... + 3650763.

It is an arithmetic number, because the mean of its divisors is an integer number (2563491840).

Almost surely, 2212530275540 is an apocalyptic number.

212530275540 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 212530275540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369142824960).

212530275540 is an abundant number, since it is smaller than the sum of its proper divisors (525755374380).

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

212530275540 is a wasteful number, since it uses less digits than its factorization.

212530275540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58803 (or 58798 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 212530275540 in words is "two hundred twelve billion, five hundred thirty million, two hundred seventy-five thousand, five hundred forty".