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2244540100 = 22521123791123
BaseRepresentation
bin1000010111001000…
…1111011011000100
312210102111110011211
42011302033123010
514044100240400
61010420141204
7106423163455
oct20562173304
95712443154
102244540100
11a51a91220
12527837804
1329a02784a
1417415312c
15d20b8dba
hex85c8f6c4

2244540100 has 144 divisors (see below), whose sum is σ = 5619640320. Its totient is φ = 770140800.

The previous prime is 2244540097. The next prime is 2244540149. The reversal of 2244540100 is 10454422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998139 + ... + 1999261.

It is an arithmetic number, because the mean of its divisors is an integer number (39025280).

Almost surely, 22244540100 is an apocalyptic number.

2244540100 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 2244540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809820160).

2244540100 is an abundant number, since it is smaller than the sum of its proper divisors (3375100220).

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

2244540100 is a wasteful number, since it uses less digits than its factorization.

2244540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2244540100 is about 47376.5775462939. The cubic root of 2244540100 is about 1309.3099137167.

Adding to 2244540100 its reverse (10454422), we get a palindrome (2254994522).

The spelling of 2244540100 in words is "two billion, two hundred forty-four million, five hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 79 92 100 110 115 158 220 230 253 275 316 395 460 506 550 575 790 869 1012 1100 1123 1150 1265 1580 1738 1817 1975 2246 2300 2530 3476 3634 3950 4345 4492 5060 5615 6325 7268 7900 8690 9085 11230 12353 12650 17380 18170 19987 21725 22460 24706 25300 25829 28075 36340 39974 43450 45425 49412 51658 56150 61765 79948 86900 88717 90850 99935 103316 112300 123530 129145 177434 181700 199870 247060 258290 284119 308825 354868 399740 443585 499675 516580 568238 617650 645725 887170 975887 999350 1136476 1235300 1291450 1420595 1774340 1951774 1998700 2040491 2217925 2582900 2841190 3903548 4080982 4435850 4879435 5682380 7102975 8161964 8871700 9758870 10202455 14205950 19517740 20404910 22445401 24397175 28411900 40809820 44890802 48794350 51012275 89781604 97588700 102024550 112227005 204049100 224454010 448908020 561135025 1122270050 2244540100