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114420222 = 2337421719
BaseRepresentation
bin1101101000111…
…10100111111110
321222022011001000
412310132213332
5213242421342
615204231130
72556361440
oct664364776
9258264030
10114420222
1159650674
123239b4a6
131a922297
14112a6490
15a0a244c
hex6d1e9fe

114420222 has 64 divisors (see below), whose sum is σ = 291686400. Its totient is φ = 32568480.

The previous prime is 114420221. The next prime is 114420227. The reversal of 114420222 is 222024411.

114420222 is a `hidden beast` number, since 1 + 1 + 442 + 0 + 222 = 666.

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 = 114420195 and 114420204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114420221) 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, 158779 + ... + 159497.

It is an arithmetic number, because the mean of its divisors is an integer number (4557600).

Almost surely, 2114420222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114420222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145843200).

114420222 is an abundant number, since it is smaller than the sum of its proper divisors (177266178).

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

114420222 is a wasteful number, since it uses less digits than its factorization.

114420222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

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

The square root of 114420222 is about 10696.7388488268. The cubic root of 114420222 is about 485.4758103756.

Adding to 114420222 its reverse (222024411), we get a palindrome (336444633).

The spelling of 114420222 in words is "one hundred fourteen million, four hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 421 719 842 1263 1438 2157 2526 2947 3789 4314 5033 5894 6471 7578 8841 10066 11367 12942 15099 17682 19413 22734 26523 30198 38826 45297 53046 79569 90594 135891 159138 271782 302699 605398 908097 1816194 2118893 2724291 4237786 5448582 6356679 8172873 12713358 16345746 19070037 38140074 57210111 114420222