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2314501002 = 2321135932561
BaseRepresentation
bin1000100111110100…
…0111101110001010
312222022010211111100
42021331013232022
514220003013002
61021355442230
7111232635222
oct21175075612
95868124440
102314501002
11a88525950
12547156376
132ab681628
1417d565082
15d82d811c
hex89f47b8a

2314501002 has 48 divisors (see below), whose sum is σ = 5486045760. Its totient is φ = 699388800.

The previous prime is 2314501001. The next prime is 2314501003. The reversal of 2314501002 is 2001054132.

It is an interprime number because it is at equal distance from previous prime (2314501001) and next prime (2314501003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2314501001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 54802 + ... + 87362.

It is an arithmetic number, because the mean of its divisors is an integer number (114292620).

Almost surely, 22314501002 is an apocalyptic number.

2314501002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314501002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743022880).

2314501002 is an abundant number, since it is smaller than the sum of its proper divisors (3171544758).

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

2314501002 is a wasteful number, since it uses less digits than its factorization.

2314501002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32939 (or 32936 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2314501002 is about 48109.2610834962. The cubic root of 2314501002 is about 1322.7744296569.

Adding to 2314501002 its reverse (2001054132), we get a palindrome (4315555134).

The spelling of 2314501002 in words is "two billion, three hundred fourteen million, five hundred one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 359 718 1077 2154 3231 3949 6462 7898 11847 23694 32561 35541 65122 71082 97683 195366 293049 358171 586098 716342 1074513 2149026 3223539 6447078 11689399 23378798 35068197 70136394 105204591 128583389 210409182 257166778 385750167 771500334 1157250501 2314501002