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2241270420 = 2235232237283
BaseRepresentation
bin1000010110010111…
…0001001010010100
312210012100100000120
42011211301022110
514042231123140
61010222111540
7106353325044
oct20545611224
95705310016
102241270420
11a50158704
1252671b5b0
1329945151c
14173941724
15d1b701d0
hex85971294

2241270420 has 96 divisors (see below), whose sum is σ = 6578675712. Its totient is φ = 569044608.

The previous prime is 2241270401. The next prime is 2241270461. The reversal of 2241270420 is 240721422.

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 31 ways as a sum of consecutive naturals, for example, 304099 + ... + 311381.

It is an arithmetic number, because the mean of its divisors is an integer number (68527872).

Almost surely, 22241270420 is an apocalyptic number.

2241270420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241270420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289337856).

2241270420 is an abundant number, since it is smaller than the sum of its proper divisors (4337405292).

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

2241270420 is a wasteful number, since it uses less digits than its factorization.

2241270420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2241270420 is about 47342.0576232170. The cubic root of 2241270420 is about 1308.6738361400.

Adding to 2241270420 its reverse (240721422), we get a palindrome (2481991842).

The spelling of 2241270420 in words is "two billion, two hundred forty-one million, two hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 223 230 276 345 446 460 669 690 892 1115 1338 1380 2230 2676 3345 4460 5129 6690 7283 10258 13380 14566 15387 20516 21849 25645 29132 30774 36415 43698 51290 61548 72830 76935 87396 102580 109245 145660 153870 167509 218490 307740 335018 436980 502527 670036 837545 1005054 1624109 1675090 2010108 2512635 3248218 3350180 4872327 5025270 6496436 8120545 9744654 10050540 16241090 19489308 24361635 32482180 37354507 48723270 74709014 97446540 112063521 149418028 186772535 224127042 373545070 448254084 560317605 747090140 1120635210 2241270420