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152215000 = 235474349
BaseRepresentation
bin10010001001010…
…01110111011000
3101121102022201121
421010221313120
5302431340000
623034255024
73525543340
oct1104516730
9347368647
10152215000
1178a15423
1242b87474
13256c6162
1416303d20
15d56ab1a
hex9129dd8

152215000 has 80 divisors (see below), whose sum is σ = 407682000. Its totient is φ = 52176000.

The previous prime is 152214917. The next prime is 152215013. The reversal of 152215000 is 512251.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 32826 + ... + 37174.

It is an arithmetic number, because the mean of its divisors is an integer number (5096025).

Almost surely, 2152215000 is an apocalyptic number.

152215000 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 152215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203841000).

152215000 is an abundant number, since it is smaller than the sum of its proper divisors (255467000).

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

152215000 is an equidigital number, since it uses as much as digits as its factorization.

152215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 152215000 is about 12337.5443261615. The cubic root of 152215000 is about 533.9318367923.

Adding to 152215000 its reverse (512251), we get a palindrome (152727251).

The spelling of 152215000 in words is "one hundred fifty-two million, two hundred fifteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3500 4349 4375 5000 7000 8698 8750 17396 17500 21745 30443 34792 35000 43490 60886 86980 108725 121772 152215 173960 217450 243544 304430 434900 543625 608860 761075 869800 1087250 1217720 1522150 2174500 2718125 3044300 3805375 4349000 5436250 6088600 7610750 10872500 15221500 19026875 21745000 30443000 38053750 76107500 152215000