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152220 = 22354359
BaseRepresentation
bin100101001010011100
321201210210
4211022130
514332340
63132420
71202535
oct451234
9251723
10152220
11a4402
1274110
1354393
143d68c
1530180
hex2529c

152220 has 48 divisors (see below), whose sum is σ = 443520. Its totient is φ = 38976.

The previous prime is 152219. The next prime is 152231. The reversal of 152220 is 22251.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 152196 and 152205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2551 + ... + 2609.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2152220 is an apocalyptic number.

152220 is a gapful number since it is divisible by the number (10) 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 152220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760).

152220 is an abundant number, since it is smaller than the sum of its proper divisors (291300).

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

152220 is a wasteful number, since it uses less digits than its factorization.

152220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 152220 is about 390.1538158214. The cubic root of 152220 is about 53.3937682975.

Adding to 152220 its reverse (22251), we get a palindrome (174471).

The spelling of 152220 in words is "one hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 59 60 86 118 129 172 177 215 236 258 295 354 430 516 590 645 708 860 885 1180 1290 1770 2537 2580 3540 5074 7611 10148 12685 15222 25370 30444 38055 50740 76110 152220