Search a number
-
+
2151337158 = 23441323899
BaseRepresentation
bin1000000000111010…
…1100110011000110
312112221010020210000
42000032230303012
513401220242113
6553250342130
7104212030665
oct20016546306
95487106700
102151337158
11a044124a3
1250058a946
13283923a89
14165a10ddc
15c8d08373
hex803accc6

2151337158 has 40 divisors (see below), whose sum is σ = 4938179400. Its totient is φ = 699619680.

The previous prime is 2151337147. The next prime is 2151337159. The reversal of 2151337158 is 8517331512.

It is a happy number.

2151337158 is a `hidden beast` number, since 21 + 513 + 3 + 71 + 58 = 666.

It is a super-3 number, since 3×21513371583 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151337159) by changing a digit.

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, 155308 + ... + 168591.

It is an arithmetic number, because the mean of its divisors is an integer number (123454485).

Almost surely, 22151337158 is an apocalyptic number.

2151337158 is an abundant number, since it is smaller than the sum of its proper divisors (2786842242).

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

2151337158 is a wasteful number, since it uses less digits than its factorization.

2151337158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323954 (or 323945 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 2151337158 is about 46382.5091818026. The cubic root of 2151337158 is about 1290.9303942458.

The spelling of 2151337158 in words is "two billion, one hundred fifty-one million, three hundred thirty-seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 323899 647798 971697 1943394 2915091 5830182 8745273 13279859 17490546 26235819 26559718 39839577 52471638 79679154 119518731 239037462 358556193 717112386 1075668579 2151337158