Search a number
-
+
2261533350 = 23524128969
BaseRepresentation
bin1000011011001100…
…0100001010100110
312211121110210112110
42012303010022212
514112423031400
61012224301450
7110020500456
oct20663041246
95747423473
102261533350
11a6063852a
12531471886
132a06c751b
141764d7d66
15d3823e50
hex86cc42a6

2261533350 has 72 divisors (see below), whose sum is σ = 5749375320. Its totient is φ = 588300800.

The previous prime is 2261533283. The next prime is 2261533363. The reversal of 2261533350 is 533351622.

It is a super-2 number, since 2×22615333502 = 10229066186324445000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 247666 + ... + 256634.

It is an arithmetic number, because the mean of its divisors is an integer number (79852435).

Almost surely, 22261533350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261533350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874687660).

2261533350 is an abundant number, since it is smaller than the sum of its proper divisors (3487841970).

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

2261533350 is a wasteful number, since it uses less digits than its factorization.

2261533350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9020 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 2261533350 is about 47555.5816913220. The cubic root of 2261533350 is about 1312.6058399909.

Adding to 2261533350 its reverse (533351622), we get a palindrome (2794884972).

It can be divided in two parts, 226153 and 3350, that added together give a triangular number (229503 = T677).

The spelling of 2261533350 in words is "two billion, two hundred sixty-one million, five hundred thirty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1025 1230 1681 2050 3075 3362 5043 6150 8405 8969 10086 16810 17938 25215 26907 42025 44845 50430 53814 84050 89690 126075 134535 224225 252150 269070 367729 448450 672675 735458 1103187 1345350 1838645 2206374 3677290 5515935 9193225 11031870 15076889 18386450 27579675 30153778 45230667 55159350 75384445 90461334 150768890 226153335 376922225 452306670 753844450 1130766675 2261533350