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2241554120 = 235134310681
BaseRepresentation
bin1000010110011011…
…0110011011001000
312210012212202011222
42011212312123020
514042314212440
61010232141212
7106355616131
oct20546663310
95705782158
102241554120
11a50331873
12526837808
132995206b0
141739b6c88
15d1bc92b5
hex859b66c8

2241554120 has 32 divisors (see below), whose sum is σ = 5431459320. Its totient is φ = 827650560.

The previous prime is 2241554113. The next prime is 2241554123. The reversal of 2241554120 is 214551422.

It can be written as a sum of positive squares in 4 ways, for example, as 1915462756 + 326091364 = 43766^2 + 18058^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2241554120.

It is not an unprimeable number, because it can be changed into a prime (2241554123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154821 + ... + 2155860.

Almost surely, 22241554120 is an apocalyptic number.

2241554120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241554120 is an abundant number, since it is smaller than the sum of its proper divisors (3189905200).

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

2241554120 is a wasteful number, since it uses less digits than its factorization.

2241554120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310705 (or 4310701 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2241554120 is about 47345.0538071296. The cubic root of 2241554120 is about 1308.7290511199.

The spelling of 2241554120 in words is "two billion, two hundred forty-one million, five hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4310681 8621362 17242724 21553405 34485448 43106810 56038853 86213620 112077706 172427240 224155412 280194265 448310824 560388530 1120777060 2241554120