Search a number
-
+
2314156620 = 22351710322027
BaseRepresentation
bin1000100111101111…
…0011101001001100
312222021111100002110
42021323303221030
514214411002440
61021344224020
7111230002206
oct21173635114
95867440073
102314156620
11a88310136
1254700b010
132ab590959
1417d4b5776
15d826b080
hex89ef3a4c

2314156620 has 96 divisors (see below), whose sum is σ = 6927717888. Its totient is φ = 575142912.

The previous prime is 2314156619. The next prime is 2314156631. The reversal of 2314156620 is 266514132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94047 + ... + 116073.

It is an arithmetic number, because the mean of its divisors is an integer number (72163728).

Almost surely, 22314156620 is an apocalyptic number.

2314156620 is a gapful number since it is divisible by the number (20) 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 2314156620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463858944).

2314156620 is an abundant number, since it is smaller than the sum of its proper divisors (4613561268).

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

2314156620 is a wasteful number, since it uses less digits than its factorization.

2314156620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22159 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2314156620 is about 48105.6817850033. The cubic root of 2314156620 is about 1322.7088197913.

The spelling of 2314156620 in words is "two billion, three hundred fourteen million, one hundred fifty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 204 206 255 309 340 412 510 515 618 1020 1030 1236 1545 1751 2060 3090 3502 5253 6180 7004 8755 10506 17510 21012 22027 26265 35020 44054 52530 66081 88108 105060 110135 132162 220270 264324 330405 374459 440540 660810 748918 1123377 1321620 1497836 1872295 2246754 2268781 3744590 4493508 4537562 5616885 6806343 7489180 9075124 11233770 11343905 13612686 22467540 22687810 27225372 34031715 38569277 45375620 68063430 77138554 115707831 136126860 154277108 192846385 231415662 385692770 462831324 578539155 771385540 1157078310 2314156620