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212216531280 = 243513219383719
BaseRepresentation
bin1100010110100100010…
…1110100100101010000
3202021202201211202220220
43011221011310211100
511434104413000110
6241254012433040
721221631516165
oct3055105644520
9667681752826
10212216531280
1182000776a46
1235166a78780
13170202a8600
14a3b278606c
1557c0c17370
hex3169174950

212216531280 has 480 divisors, whose sum is σ = 752866099200. Its totient is φ = 49290688512.

The previous prime is 212216531257. The next prime is 212216531281. The reversal of 212216531280 is 82135612212.

It is a super-2 number, since 2×2122165312802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212216531281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295154761 + ... + 295155479.

It is an arithmetic number, because the mean of its divisors is an integer number (1568471040).

Almost surely, 2212216531280 is an apocalyptic number.

212216531280 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 212216531280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376433049600).

212216531280 is an abundant number, since it is smaller than the sum of its proper divisors (540649567920).

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

212216531280 is a wasteful number, since it uses less digits than its factorization.

212216531280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 212216531280 in words is "two hundred twelve billion, two hundred sixteen million, five hundred thirty-one thousand, two hundred eighty".