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2243220100 = 22521161101331
BaseRepresentation
bin1000010110110100…
…1101001010000100
312210100000101110221
42011231031022010
514043231020400
61010331554124
7106406025202
oct20555151204
95710011427
102243220100
11a5126a510
125272bb944
13299984a94
14173ccc072
15d1e07c1a
hex85b4d284

2243220100 has 144 divisors (see below), whose sum is σ = 5467275072. Its totient is φ = 792000000.

The previous prime is 2243220041. The next prime is 2243220101. The reversal of 2243220100 is 10223422.

It is not an unprimeable number, because it can be changed into a prime (2243220101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6776935 + ... + 6777265.

It is an arithmetic number, because the mean of its divisors is an integer number (37967188).

Almost surely, 22243220100 is an apocalyptic number.

2243220100 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 2243220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733637536).

2243220100 is an abundant number, since it is smaller than the sum of its proper divisors (3224054972).

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

2243220100 is a wasteful number, since it uses less digits than its factorization.

2243220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2243220100 is about 47362.6445629887. The cubic root of 2243220100 is about 1309.0531977276.

Adding to 2243220100 its reverse (10223422), we get a palindrome (2253443522).

The spelling of 2243220100 in words is "two billion, two hundred forty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 101 110 122 202 220 244 275 305 331 404 505 550 610 662 671 1010 1100 1111 1220 1324 1342 1525 1655 2020 2222 2525 2684 3050 3310 3355 3641 4444 5050 5555 6100 6161 6620 6710 7282 8275 10100 11110 12322 13420 14564 16550 16775 18205 20191 22220 24644 27775 30805 33100 33431 33550 36410 40382 55550 61610 66862 67100 67771 72820 80764 91025 100955 111100 123220 133724 135542 154025 167155 182050 201910 222101 271084 308050 334310 338855 364100 367741 403820 444202 504775 616100 668620 677710 735482 835775 888404 1009550 1110505 1355420 1470964 1671550 1694275 1838705 2019100 2039291 2221010 3343100 3388550 3677410 4078582 4442020 5552525 6777100 7354820 8157164 9193525 10196455 11105050 18387050 20392910 22210100 22432201 36774100 40785820 44864402 50982275 89728804 101964550 112161005 203929100 224322010 448644020 560805025 1121610050 2243220100