Search a number
-
+
2251501014 = 2372916711069
BaseRepresentation
bin1000011000110011…
…0010110111010110
312210220121002202110
42012030302313112
514102341013024
61011225251450
7106536304620
oct20614626726
95726532673
102251501014
11a55a06044
1252a033b86
1329b5c4029
14175045c10
15d29e1629
hex86332dd6

2251501014 has 64 divisors (see below), whose sum is σ = 5356108800. Its totient is φ = 617328768.

The previous prime is 2251501009. The next prime is 2251501037. The reversal of 2251501014 is 4101051522.

2251501014 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197872 + ... + 208940.

It is an arithmetic number, because the mean of its divisors is an integer number (83689200).

Almost surely, 22251501014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251501014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678054400).

2251501014 is an abundant number, since it is smaller than the sum of its proper divisors (3104607786).

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

2251501014 is a wasteful number, since it uses less digits than its factorization.

2251501014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2251501014 is about 47449.9843414094. The cubic root of 2251501014 is about 1310.6620226663.

Adding to 2251501014 its reverse (4101051522), we get a palindrome (6352552536).

The spelling of 2251501014 in words is "two billion, two hundred fifty-one million, five hundred one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 167 174 203 334 406 501 609 1002 1169 1218 2338 3507 4843 7014 9686 11069 14529 22138 29058 33207 33901 66414 67802 77483 101703 154966 203406 232449 321001 464898 642002 963003 1848523 1926006 2247007 3697046 4494014 5545569 6741021 11091138 12939661 13482042 25879322 38818983 53607167 77637966 107214334 160821501 321643002 375250169 750500338 1125750507 2251501014