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114322212 = 22331771877
BaseRepresentation
bin1101101000001…
…10101100100100
321222010011121000
412310012230210
5213231302322
615202153300
72555502624
oct664065444
9258104530
10114322212
1159593a74
1232352830
131a8b97a4
141127c884
15a0833ac
hex6d06b24

114322212 has 96 divisors (see below), whose sum is σ = 318608640. Its totient is φ = 35320320.

The previous prime is 114322207. The next prime is 114322223. The reversal of 114322212 is 212223411.

It is a happy number.

114322212 is a `hidden beast` number, since 11 + 432 + 221 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129918 + ... + 130794.

It is an arithmetic number, because the mean of its divisors is an integer number (3318840).

Almost surely, 2114322212 is an apocalyptic number.

114322212 is a gapful number since it is divisible by the number (12) 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 114322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159304320).

114322212 is an abundant number, since it is smaller than the sum of its proper divisors (204286428).

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

114322212 is a wasteful number, since it uses less digits than its factorization.

114322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 114322212 is about 10692.1565645103. The cubic root of 114322212 is about 485.3371545926.

Adding to 114322212 its reverse (212223411), we get a palindrome (326545623).

The spelling of 114322212 in words is "one hundred fourteen million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 102 108 142 153 204 213 284 306 426 459 612 639 852 877 918 1207 1278 1754 1836 1917 2414 2556 2631 3508 3621 3834 4828 5262 7242 7668 7893 10524 10863 14484 14909 15786 21726 23679 29818 31572 32589 43452 44727 47358 59636 62267 65178 89454 94716 124534 130356 134181 178908 186801 249068 268362 373602 402543 536724 560403 747204 805086 1058539 1120806 1610172 1681209 2117078 2241612 3175617 3362418 4234156 6351234 6724836 9526851 12702468 19053702 28580553 38107404 57161106 114322212