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212203332000 = 253253112811907
BaseRepresentation
bin1100010110100001001…
…1011110000110100000
3202021201211000011220200
43011220103132012200
511434043023111000
6241252421505200
721221411363262
oct3055023360640
9667654004820
10212203332000
1181aa4281150
1235162572200
131701a63679a
14a3b0b0bb32
1557be9ab500
hex31684de1a0

212203332000 has 576 divisors, whose sum is σ = 824930241408. Its totient is φ = 51233280000.

The previous prime is 212203331957. The next prime is 212203332001. The reversal of 212203332000 is 233302212.

It is a happy number.

It is a super-2 number, since 2×2122033320002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212203332001) 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, 111275047 + ... + 111276953.

It is an arithmetic number, because the mean of its divisors is an integer number (1432170558).

Almost surely, 2212203332000 is an apocalyptic number.

212203332000 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 212203332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412465120704).

212203332000 is an abundant number, since it is smaller than the sum of its proper divisors (612726909408).

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

212203332000 is a wasteful number, since it uses less digits than its factorization.

212203332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212203332000 its reverse (233302212), we get a palindrome (212436634212).

The spelling of 212203332000 in words is "two hundred twelve billion, two hundred three million, three hundred thirty-two thousand".