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1222801140 = 22351111931553
BaseRepresentation
bin100100011100010…
…0111011011110100
310011012220201211010
41020320213123310
510001014114030
6321200512220
742205431621
oct11070473364
93135821733
101222801140
1157826a660
122a161b670
13166448892
14b8587348
15725416b0
hex48e276f4

1222801140 has 96 divisors (see below), whose sum is σ = 3740639616. Its totient is φ = 295997440.

The previous prime is 1222801133. The next prime is 1222801157. The reversal of 1222801140 is 411082221.

1222801140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786604 + ... + 788156.

It is an arithmetic number, because the mean of its divisors is an integer number (38964996).

Almost surely, 21222801140 is an apocalyptic number.

1222801140 is a gapful number since it is divisible by the number (10) 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 1222801140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870319808).

1222801140 is an abundant number, since it is smaller than the sum of its proper divisors (2517838476).

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

1222801140 is a wasteful number, since it uses less digits than its factorization.

1222801140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1222801140 is about 34968.5736054532. The cubic root of 1222801140 is about 1069.3468923208.

Adding to 1222801140 its reverse (411082221), we get a palindrome (1633883361).

The spelling of 1222801140 in words is "one billion, two hundred twenty-two million, eight hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1193 1553 2386 3106 3579 4659 4772 5965 6212 7158 7765 9318 11930 13123 14316 15530 17083 17895 18636 23295 23860 26246 31060 34166 35790 39369 46590 51249 52492 65615 68332 71580 78738 85415 93180 102498 131230 157476 170830 196845 204996 256245 262460 341660 393690 512490 787380 1024980 1852729 3705458 5558187 7410916 9263645 11116374 18527290 20380019 22232748 27790935 37054580 40760038 55581870 61140057 81520076 101900095 111163740 122280114 203800190 244560228 305700285 407600380 611400570 1222801140