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2121662196 = 2232311901131
BaseRepresentation
bin111111001110101…
…1111111011110100
312110212021121101100
41332131133323310
513321121142241
6550310330100
7103401555033
oct17635377364
95425247340
102121662196
11999694235
124b2659930
1327a733a24
14161ac871a
15c63e59b6
hex7e75fef4

2121662196 has 36 divisors (see below), whose sum is σ = 5536096384. Its totient is φ = 684406800.

The previous prime is 2121662171. The next prime is 2121662197. The reversal of 2121662196 is 6912661212.

2121662196 is a `hidden beast` number, since 2 + 1 + 21 + 6 + 621 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2121662196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121662197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949450 + ... + 951681.

Almost surely, 22121662196 is an apocalyptic number.

It is an amenable number.

2121662196 is an abundant number, since it is smaller than the sum of its proper divisors (3414434188).

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

2121662196 is a wasteful number, since it uses less digits than its factorization.

2121662196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901172 (or 1901167 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2121662196 is about 46061.5044912777. The cubic root of 2121662196 is about 1284.9673105080.

The spelling of 2121662196 in words is "two billion, one hundred twenty-one million, six hundred sixty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1901131 3802262 5703393 7604524 11406786 17110179 22813572 34220358 58935061 68440716 117870122 176805183 235740244 353610366 530415549 707220732 1060831098 2121662196