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2241311220 = 2232516197691
BaseRepresentation
bin1000010110010111…
…1011000111110100
312210012102101222200
42011211323013310
514042233424340
61010223024500
7106353555021
oct20545730764
95705371880
102241311220
11a50186325
1252673b130
13299466c75
14173952548
15d1b7c330
hex8597b1f4

2241311220 has 72 divisors (see below), whose sum is σ = 6803727840. Its totient is φ = 597236160.

The previous prime is 2241311213. The next prime is 2241311273. The reversal of 2241311220 is 221131422.

It is a happy number.

2241311220 is a `hidden beast` number, since 22 + 413 + 11 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2241311193 and 2241311202.

It is a congruent number.

It is an unprimeable number.

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, 287575 + ... + 295265.

It is an arithmetic number, because the mean of its divisors is an integer number (94496220).

Almost surely, 22241311220 is an apocalyptic number.

2241311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241311220 is an abundant number, since it is smaller than the sum of its proper divisors (4562416620).

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

2241311220 is a wasteful number, since it uses less digits than its factorization.

2241311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2241311220 is about 47342.4885277485. The cubic root of 2241311220 is about 1308.6817771078.

Adding to 2241311220 its reverse (221131422), we get a palindrome (2462442642).

It can be divided in two parts, 22413 and 11220, that added together give a palindrome (33633).

The spelling of 2241311220 in words is "two billion, two hundred forty-one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1619 3238 4857 6476 7691 8095 9714 14571 15382 16190 19428 23073 24285 29142 30764 32380 38455 46146 48570 58284 69219 72855 76910 92292 97140 115365 138438 145710 153820 230730 276876 291420 346095 461460 692190 1384380 12451729 24903458 37355187 49806916 62258645 74710374 112065561 124517290 149420748 186775935 224131122 249034580 373551870 448262244 560327805 747103740 1120655610 2241311220