Search a number
-
+
84223044 = 22331315953
BaseRepresentation
bin1010000010100…
…10010001000100
312212110222022000
411001102101010
5133030114134
612205105300
72041612143
oct501222104
9185428260
1084223044
11435a6024
1224258230
13145ab629
14b28575a
1575d9e99
hex5052444

84223044 has 48 divisors (see below), whose sum is σ = 220059840. Its totient is φ = 27855360.

The previous prime is 84223043. The next prime is 84223057. The reversal of 84223044 is 44032248.

It is a happy number.

It is a super-2 number, since 2×842230442 = 14187042281251872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 84222999 and 84223017.

It is not an unprimeable number, because it can be changed into a prime (84223043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11172 + ... + 17124.

It is an arithmetic number, because the mean of its divisors is an integer number (4584580).

Almost surely, 284223044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84223044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110029920).

84223044 is an abundant number, since it is smaller than the sum of its proper divisors (135836796).

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

84223044 is a wasteful number, since it uses less digits than its factorization.

84223044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 84223044 is about 9177.3113709844. The cubic root of 84223044 is about 438.3392005589.

The spelling of 84223044 in words is "eighty-four million, two hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 5953 7074 11906 14148 17859 23812 35718 53577 71436 107154 160731 214308 321462 642924 779843 1559686 2339529 3119372 4679058 7018587 9358116 14037174 21055761 28074348 42111522 84223044