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2244211400 = 235229973989
BaseRepresentation
bin1000010111000011…
…1111001011001000
312210101212202021202
42011300333023020
514044004231100
61010405123332
7106420324244
oct20560771310
95711782252
102244211400
11a51887272
125276b9548
13299c41052
141740a9424
15d20517d5
hex85c3f2c8

2244211400 has 96 divisors (see below), whose sum is σ = 5454729000. Its totient is φ = 857579520.

The previous prime is 2244211393. The next prime is 2244211421. The reversal of 2244211400 is 41124422.

It can be written as a sum of positive squares in 12 ways, for example, as 109956196 + 2134255204 = 10486^2 + 46198^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560606 + ... + 564594.

Almost surely, 22244211400 is an apocalyptic number.

2244211400 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 2244211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727364500).

2244211400 is an abundant number, since it is smaller than the sum of its proper divisors (3210517600).

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

2244211400 is a wasteful number, since it uses less digits than its factorization.

2244211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2244211400 is about 47373.1084055079. The cubic root of 2244211400 is about 1309.2459969588.

Adding to 2244211400 its reverse (41124422), we get a palindrome (2285335822).

The spelling of 2244211400 in words is "two billion, two hundred forty-four million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 97 100 116 145 194 200 232 290 388 485 580 725 776 970 1160 1450 1940 2425 2813 2900 3880 3989 4850 5626 5800 7978 9700 11252 14065 15956 19400 19945 22504 28130 31912 39890 56260 70325 79780 99725 112520 115681 140650 159560 199450 231362 281300 386933 398900 462724 562600 578405 773866 797800 925448 1156810 1547732 1934665 2313620 2892025 3095464 3869330 4627240 5784050 7738660 9673325 11221057 11568100 15477320 19346650 22442114 23136200 38693300 44884228 56105285 77386600 89768456 112210570 224421140 280526425 448842280 561052850 1122105700 2244211400