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156340224 = 212324241
BaseRepresentation
bin10010101000110…
…01000000000000
3101220011220110200
421110121000000
5310010341344
623302525200
73605604255
oct1124310000
9356156420
10156340224
11802827a7
1244436800
132650ba11
1416a9942c
15dad3069
hex9519000

156340224 has 78 divisors (see below), whose sum is σ = 451700886. Its totient is φ = 52101120.

The previous prime is 156340199. The next prime is 156340241. The reversal of 156340224 is 422043651.

156340224 is a `hidden beast` number, since 1 + 5 + 634 + 0 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155750400 + 589824 = 12480^2 + 768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34744 + ... + 38984.

It is an arithmetic number, because the mean of its divisors is an integer number (5791037).

Almost surely, 2156340224 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 156340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225850443).

156340224 is an abundant number, since it is smaller than the sum of its proper divisors (295360662).

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

156340224 is an equidigital number, since it uses as much as digits as its factorization.

156340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 156340224 is about 12503.6084391667. The cubic root of 156340224 is about 538.7123228084.

Adding to 156340224 its reverse (422043651), we get a palindrome (578383875).

The spelling of 156340224 in words is "one hundred fifty-six million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4241 4608 6144 8482 9216 12288 12723 16964 18432 25446 33928 36864 38169 50892 67856 76338 101784 135712 152676 203568 271424 305352 407136 542848 610704 814272 1085696 1221408 1628544 2171392 2442816 3257088 4342784 4885632 6514176 8685568 9771264 13028352 17371136 19542528 26056704 39085056 52113408 78170112 156340224