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2122200120 = 233537477973
BaseRepresentation
bin111111001111110…
…0011010000111000
312110220021221021110
41332133203100320
513321240400440
6550330040320
7103406255235
oct17637432070
95426257243
102122200120
11999a213a7
124b28790a0
1327a891821
14161bc878c
15c64a0080
hex7e7e3438

2122200120 has 64 divisors (see below), whose sum is σ = 6538684320. Its totient is φ = 550623744.

The previous prime is 2122200109. The next prime is 2122200121. The reversal of 2122200120 is 210022212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122200096 and 2122200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122200121) 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, 234547 + ... + 243426.

Almost surely, 22122200120 is an apocalyptic number.

2122200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122200120 is an abundant number, since it is smaller than the sum of its proper divisors (4416484200).

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

2122200120 is a wasteful number, since it uses less digits than its factorization.

2122200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478024 (or 478020 counting only the distinct ones).

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

The square root of 2122200120 is about 46067.3433138921. The cubic root of 2122200120 is about 1285.0758977513.

Adding to 2122200120 its reverse (210022212), we get a palindrome (2332222332).

The spelling of 2122200120 in words is "two billion, one hundred twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 477973 955946 1433919 1911892 2389865 2867838 3823784 4779730 5735676 7169595 9559460 11471352 14339190 17685001 19118920 28678380 35370002 53055003 57356760 70740004 88425005 106110006 141480008 176850010 212220012 265275015 353700020 424440024 530550030 707400040 1061100060 2122200120