[go: up one dir, main page]

Search a number
-
+
2251503342 = 2321112838863
BaseRepresentation
bin1000011000110011…
…0011011011101110
312210220121012221200
42012030303123232
514102341101332
61011225310330
7106536314454
oct20614633356
95726535850
102251503342
11a55a07870
1252a0353a6
1329b5c50ca
141750469d4
15d29e217c
hex863336ee

2251503342 has 48 divisors (see below), whose sum is σ = 5326483968. Its totient is φ = 681665040.

The previous prime is 2251503311. The next prime is 2251503343. The reversal of 2251503342 is 2433051522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251503343) 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, 249603 + ... + 258465.

It is an arithmetic number, because the mean of its divisors is an integer number (110968416).

Almost surely, 22251503342 is an apocalyptic number.

2251503342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2251503342 is an abundant number, since it is smaller than the sum of its proper divisors (3074980626).

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

2251503342 is a wasteful number, since it uses less digits than its factorization.

2251503342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2251503342 is about 47450.0088724965. The cubic root of 2251503342 is about 1310.6624743976.

Adding to 2251503342 its reverse (2433051522), we get a palindrome (4684554864).

The spelling of 2251503342 in words is "two billion, two hundred fifty-one million, five hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1283 2566 3849 7698 8863 11547 14113 17726 23094 26589 28226 42339 53178 79767 84678 97493 127017 159534 194986 254034 292479 584958 877437 1754874 11371229 22742458 34113687 68227374 102341061 125083519 204682122 250167038 375250557 750501114 1125751671 2251503342