Search a number
-
+
211422332000 = 25531121034241
BaseRepresentation
bin1100010011100111000…
…0001100010001100000
3202012201101102021022202
43010321300030101200
511430443104111000
6241043122152332
721163146112325
oct3047160142140
9665641367282
10211422332000
1181733438300
1234b84ab26a8
1316c248a6ac9
14a3390cab4c
155776138dd5
hex3139c0c460

211422332000 has 288 divisors, whose sum is σ = 576661280832. Its totient is φ = 76116480000.

The previous prime is 211422331973. The next prime is 211422332003. The reversal of 211422332000 is 233224112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211422332003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49849880 + ... + 49854120.

It is an arithmetic number, because the mean of its divisors is an integer number (2002296114).

Almost surely, 2211422332000 is an apocalyptic number.

211422332000 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 211422332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288330640416).

211422332000 is an abundant number, since it is smaller than the sum of its proper divisors (365238948832).

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

211422332000 is a wasteful number, since it uses less digits than its factorization.

211422332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211422332000 its reverse (233224112), we get a palindrome (211655556112).

The spelling of 211422332000 in words is "two hundred eleven billion, four hundred twenty-two million, three hundred thirty-two thousand".