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2120222000 = 24531381547
BaseRepresentation
bin111111001100000…
…0000010100110000
312110202120102210202
41332120000110300
513320234101000
6550215414332
7103353406151
oct17630002460
95422512722
102120222000
119988a0196
124b20843a8
1327a34b340
14161831928
15c620ddd5
hex7e600530

2120222000 has 80 divisors (see below), whose sum is σ = 5521125792. Its totient is φ = 782841600.

The previous prime is 2120221993. The next prime is 2120222003. The reversal of 2120222000 is 2220212.

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

It is not an unprimeable number, because it can be changed into a prime (2120222003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14774 + ... + 66773.

Almost surely, 22120222000 is an apocalyptic number.

2120222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120222000 is an abundant number, since it is smaller than the sum of its proper divisors (3400903792).

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

2120222000 is a wasteful number, since it uses less digits than its factorization.

2120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81583 (or 81567 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2120222000 is about 46045.8684357240. The cubic root of 2120222000 is about 1284.6764970637.

Adding to 2120222000 its reverse (2220212), we get a palindrome (2122442212).

The spelling of 2120222000 in words is "two billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 81547 163094 326188 407735 652376 815470 1060111 1304752 1630940 2038675 2120222 3261880 4077350 4240444 5300555 6523760 8154700 8480888 10193375 10601110 16309400 16961776 20386750 21202220 26502775 32618800 40773500 42404440 53005550 81547000 84808880 106011100 132513875 163094000 212022200 265027750 424044400 530055500 1060111000 2120222000