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211222220000 = 2554113130971
BaseRepresentation
bin1100010010110111010…
…0110100110011100000
3202012012102212112021012
43010231310310303200
511430040342020000
6241011213120052
721155166150401
oct3045564646340
9665172775235
10211222220000
1181640489190
1234b29a89028
1316bc22b083c
14a31a6b99a8
1557637ab735
hex312dd34ce0

211222220000 has 240 divisors, whose sum is σ = 585183481344. Its totient is φ = 74328000000.

The previous prime is 211222219997. The next prime is 211222220003. The reversal of 211222220000 is 22222112.

It is an interprime number because it is at equal distance from previous prime (211222219997) and next prime (211222220003).

It is a super-2 number, since 2×2112222200002 (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 (211222220003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6804515 + ... + 6835485.

Almost surely, 2211222220000 is an apocalyptic number.

211222220000 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 211222220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292591740672).

211222220000 is an abundant number, since it is smaller than the sum of its proper divisors (373961261344).

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

211222220000 is a wasteful number, since it uses less digits than its factorization.

211222220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31043 (or 31020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 211222220000 its reverse (22222112), we get a palindrome (211244442112).

The spelling of 211222220000 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand".