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2242242420 = 22351110133637
BaseRepresentation
bin1000010110100101…
…1110011101110100
312210021011201100120
42011221132131310
514043003224140
61010255011540
7106364513625
oct20551363564
95707151316
102242242420
11a50761a10
12526b09bb0
13299701a82
14173b15a4c
15d1cb31d0
hex85a5e774

2242242420 has 96 divisors (see below), whose sum is σ = 6917049216. Its totient is φ = 538176000.

The previous prime is 2242242419. The next prime is 2242242451. The reversal of 2242242420 is 242422422.

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 31 ways as a sum of consecutive naturals, for example, 49842 + ... + 83478.

It is an arithmetic number, because the mean of its divisors is an integer number (72052596).

Almost surely, 22242242420 is an apocalyptic number.

2242242420 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 2242242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458524608).

2242242420 is an abundant number, since it is smaller than the sum of its proper divisors (4674806796).

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

2242242420 is a wasteful number, since it uses less digits than its factorization.

2242242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33761 (or 33759 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2242242420 is about 47352.3222239417. The cubic root of 2242242420 is about 1308.8629918254.

Adding to 2242242420 its reverse (242422422), we get a palindrome (2484664842).

The spelling of 2242242420 in words is "two billion, two hundred forty-two million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 33637 66660 67274 100911 134548 168185 201822 336370 370007 403644 504555 672740 740014 1009110 1110021 1480028 1850035 2018220 2220042 3397337 3700070 4440084 5550105 6794674 7400140 10192011 11100210 13589348 16986685 20384022 22200420 33973370 37370707 40768044 50960055 67946740 74741414 101920110 112112121 149482828 186853535 203840220 224224242 373707070 448448484 560560605 747414140 1121121210 2242242420