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2200122240 = 27351145897
BaseRepresentation
bin1000001100100011…
…0011001110000000
312200022220210022220
42003020303032000
514001212402430
61002152131040
7105343505361
oct20310631600
95608823286
102200122240
11a29a03448
12514996a80
13290a751a4
1416c2adb68
15cd243110
hex83233380

2200122240 has 64 divisors (see below), whose sum is σ = 7012895760. Its totient is φ = 586698752.

The previous prime is 2200122193. The next prime is 2200122257. The reversal of 2200122240 is 422210022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571029 + ... + 574868.

Almost surely, 22200122240 is an apocalyptic number.

2200122240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200122240 is an abundant number, since it is smaller than the sum of its proper divisors (4812773520).

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

2200122240 is a wasteful number, since it uses less digits than its factorization.

2200122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145919 (or 1145907 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2200122240 is about 46905.4606629122. The cubic root of 2200122240 is about 1300.6155349353.

Adding to 2200122240 its reverse (422210022), we get a palindrome (2622332262).

The spelling of 2200122240 in words is "two billion, two hundred million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1145897 2291794 3437691 4583588 5729485 6875382 9167176 11458970 13750764 17188455 18334352 22917940 27501528 34376910 36668704 45835880 55003056 68753820 73337408 91671760 110006112 137507640 146674816 183343520 220012224 275015280 366687040 440024448 550030560 733374080 1100061120 2200122240