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211442022 = 233111720939
BaseRepresentation
bin11001001101001…
…01100101100110
3112201212100221000
430212211211212
5413112121042
632551534130
75145141021
oct1446454546
9481770830
10211442022
11a9398580
125a98a346
1334a6232c
14201201b8
151386974c
hexc9a5966

211442022 has 64 divisors (see below), whose sum is σ = 542764800. Its totient is φ = 60301440.

The previous prime is 211442009. The next prime is 211442029. The reversal of 211442022 is 220244112.

211442022 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 211441986 and 211442004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211442029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372 + ... + 20567.

It is an arithmetic number, because the mean of its divisors is an integer number (8480700).

Almost surely, 2211442022 is an apocalyptic number.

211442022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211442022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271382400).

211442022 is an abundant number, since it is smaller than the sum of its proper divisors (331322778).

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

211442022 is a wasteful number, since it uses less digits than its factorization.

211442022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20978 (or 20972 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 211442022 is about 14541.0461109234. The cubic root of 211442022 is about 595.7496114271.

Adding to 211442022 its reverse (220244112), we get a palindrome (431686134).

The spelling of 211442022 in words is "two hundred eleven million, four hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 20939 41878 62817 125634 188451 230329 355963 376902 460658 565353 690987 711926 1067889 1130706 1381974 2072961 2135778 3203667 3915593 4145922 6218883 6407334 7831186 9611001 11746779 12437766 19222002 23493558 35240337 70480674 105721011 211442022