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2200121040 = 243513705167
BaseRepresentation
bin1000001100100011…
…0010111011010000
312200022220201200110
42003020302323100
514001212333130
61002152121320
7105343502025
oct20310627320
95608821613
102200121040
11a29a02557
12514996240
13290a74790
1416c2ad54c
15cd242ab0
hex83232ed0

2200121040 has 80 divisors (see below), whose sum is σ = 7345029888. Its totient is φ = 541567488.

The previous prime is 2200121023. The next prime is 2200121059. The reversal of 2200121040 is 401210022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 349464 + ... + 355703.

Almost surely, 22200121040 is an apocalyptic number.

2200121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200121040 is an abundant number, since it is smaller than the sum of its proper divisors (5144908848).

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

2200121040 is a wasteful number, since it uses less digits than its factorization.

2200121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705196 (or 705190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2200121040 is about 46905.4478712228. The cubic root of 2200121040 is about 1300.6152984729.

Adding to 2200121040 its reverse (401210022), we get a palindrome (2601331062).

The spelling of 2200121040 in words is "two billion, two hundred million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 705167 1410334 2115501 2820668 3525835 4231002 5641336 7051670 8462004 9167171 10577505 11282672 14103340 16924008 18334342 21155010 27501513 28206680 33848016 36668684 42310020 45835855 55003026 56413360 73337368 84620040 91671710 110006052 137507565 146674736 169240080 183343420 220012104 275015130 366686840 440024208 550030260 733373680 1100060520 2200121040