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211422211000 = 235372112132211
BaseRepresentation
bin1100010011100110111…
…1101110101110111000
3202012201101012010100021
43010321233232232320
511430443041223000
6241043115420224
721163145066500
oct3047157565670
9665641163307
10211422211000
1181733365400
1234b84a54674
1316c24863a00
14a339098a00
15577611311a
hex3139beebb8

211422211000 has 864 divisors, whose sum is σ = 688223193840. Its totient is φ = 60540480000.

The previous prime is 211422210973. The next prime is 211422211003. The reversal of 211422211000 is 112224112.

It is a super-4 number, since 4×2114222110004 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211422211003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1002000895 + ... + 1002001105.

Almost surely, 2211422211000 is an apocalyptic number.

211422211000 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 211422211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344111596920).

211422211000 is an abundant number, since it is smaller than the sum of its proper divisors (476800982840).

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

211422211000 is a wasteful number, since it uses less digits than its factorization.

211422211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211422211000 its reverse (112224112), we get a palindrome (211534435112).

The spelling of 211422211000 in words is "two hundred eleven billion, four hundred twenty-two million, two hundred eleven thousand".