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83022220 = 22517614003
BaseRepresentation
bin1001111001011…
…01000110001100
312210012222002001
410330231012030
5132223202340
612123242044
72025451201
oct474550614
9183188061
1083022220
1142955906
1223979324
131427ab98
14b051ca8
15744e29a
hex4f2d18c

83022220 has 48 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 30735360.

The previous prime is 83022209. The next prime is 83022227. The reversal of 83022220 is 2222038.

It is not an unprimeable number, because it can be changed into a prime (83022227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18739 + ... + 22741.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 283022220 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 83022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

83022220 is an abundant number, since it is smaller than the sum of its proper divisors (104653268).

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

83022220 is a wasteful number, since it uses less digits than its factorization.

83022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 83022220 is about 9111.6529784666. The cubic root of 83022220 is about 436.2459894597.

Adding to 83022220 its reverse (2222038), we get a palindrome (85244258).

The spelling of 83022220 in words is "eighty-three million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4003 4148 5185 8006 10370 16012 20015 20740 40030 68051 80060 136102 244183 272204 340255 488366 680510 976732 1220915 1361020 2441830 4151111 4883660 8302222 16604444 20755555 41511110 83022220