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212249349312 = 263711135367311
BaseRepresentation
bin1100010110101100001…
…1000000110011000000
3202021212000121002210120
43011223003000303000
511434141313134222
6241301144100240
721222510462450
oct3055303006300
9667760532716
10212249349312
1182018251690
1235175a64680
1317027029170
14a3b6c89d60
1557c3a4b15c
hex316b0c0cc0

212249349312 has 896 divisors, whose sum is σ = 782204387328. Its totient is φ = 49025433600.

The previous prime is 212249349227. The next prime is 212249349329. The reversal of 212249349312 is 213943942212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 682473637 + ... + 682473947.

It is an arithmetic number, because the mean of its divisors is an integer number (872995968).

Almost surely, 2212249349312 is an apocalyptic number.

212249349312 is a gapful number since it is divisible by the number (22) 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 212249349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391102193664).

212249349312 is an abundant number, since it is smaller than the sum of its proper divisors (569955038016).

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

212249349312 is a wasteful number, since it uses less digits than its factorization.

212249349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 212249349312 in words is "two hundred twelve billion, two hundred forty-nine million, three hundred forty-nine thousand, three hundred twelve".