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92220 = 22352953
BaseRepresentation
bin10110100000111100
311200111120
4112200330
510422340
61550540
7532602
oct264074
9150446
1092220
1163317
1245450
1332c8b
1425872
151c4d0
hex1683c

92220 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 23296.

The previous prime is 92219. The next prime is 92221. The reversal of 92220 is 2229.

It is an interprime number because it is at equal distance from previous prime (92219) and next prime (92221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 92220.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92220.

It is not an unprimeable number, because it can be changed into a prime (92221) 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, 1714 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

292220 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 92220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

92220 is an abundant number, since it is smaller than the sum of its proper divisors (179940).

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

92220 is a wasteful number, since it uses less digits than its factorization.

92220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 92220 is about 303.6774604741. The cubic root of 92220 is about 45.1795297184.

Adding to 92220 its sum of digits (15), we get a triangular number (92235 = T429).

Adding to 92220 its reverse (2229), we get a palindrome (94449).

The spelling of 92220 in words is "ninety-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 53 58 60 87 106 116 145 159 174 212 265 290 318 348 435 530 580 636 795 870 1060 1537 1590 1740 3074 3180 4611 6148 7685 9222 15370 18444 23055 30740 46110 92220