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152884220 = 225231632039
BaseRepresentation
bin10010001110011…
…01001111111100
3101122200022201112
421013031033330
5303114243340
623100501152
73534331406
oct1107151774
9348608645
10152884220
11793321a5
124324a7b8
132589b948
1416439b76
15d64e065
hex91cd3fc

152884220 has 48 divisors (see below), whose sum is σ = 337236480. Its totient is φ = 58107456.

The previous prime is 152884189. The next prime is 152884223. The reversal of 152884220 is 22488251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152884223) 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, 73961 + ... + 75999.

It is an arithmetic number, because the mean of its divisors is an integer number (7025760).

Almost surely, 2152884220 is an apocalyptic number.

152884220 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 152884220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168618240).

152884220 is an abundant number, since it is smaller than the sum of its proper divisors (184352260).

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

152884220 is a wasteful number, since it uses less digits than its factorization.

152884220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 152884220 is about 12364.6358620058. The cubic root of 152884220 is about 534.7131778439.

The spelling of 152884220 in words is "one hundred fifty-two million, eight hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 652 815 1630 2039 3260 3749 4078 7498 8156 10195 14996 18745 20390 37490 40780 46897 74980 93794 187588 234485 332357 468970 664714 937940 1329428 1661785 3323570 6647140 7644211 15288422 30576844 38221055 76442110 152884220