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2112222240 = 253251466821
BaseRepresentation
bin111110111100101…
…1111010000100000
312110012112000012100
41331321133100200
513311212102430
6545332130400
7103225410222
oct17571372040
95405460170
102112222240
11994326917
124ab466a00
132787aa05b
1416074c412
15c567d960
hex7de5f420

2112222240 has 72 divisors (see below), whose sum is σ = 7207963308. Its totient is φ = 563258880.

The previous prime is 2112222209. The next prime is 2112222251. The reversal of 2112222240 is 422222112.

It can be written as a sum of positive squares in 2 ways, for example, as 2076078096 + 36144144 = 45564^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21122222402 = 8922965582301235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 731971 + ... + 734850.

Almost surely, 22112222240 is an apocalyptic number.

2112222240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112222240 is an abundant number, since it is smaller than the sum of its proper divisors (5095741068).

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

2112222240 is a wasteful number, since it uses less digits than its factorization.

2112222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466842 (or 1466831 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2112222240 is about 45958.9190473405. The cubic root of 2112222240 is about 1283.0587330985.

Adding to 2112222240 its reverse (422222112), we get a palindrome (2534444352).

The spelling of 2112222240 in words is "two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1466821 2933642 4400463 5867284 7334105 8800926 11734568 13201389 14668210 17601852 22002315 23469136 26402778 29336420 35203704 44004630 46938272 52805556 58672840 66006945 70407408 88009260 105611112 117345680 132013890 140814816 176018520 211222224 234691360 264027780 352037040 422444448 528055560 704074080 1056111120 2112222240