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2142046221 = 372130711149
BaseRepresentation
bin111111110101101…
…0000100000001101
312112021122020000020
41333223100200031
513341330434341
6552315252353
7104040043500
oct17753204015
95467566006
102142046221
119aa147037
124b944a0b9
13281a1cb93
141646b3137
15c80c0566
hex7fad080d

2142046221 has 24 divisors (see below), whose sum is σ = 3325197600. Its totient is φ = 1222980192.

The previous prime is 2142046219. The next prime is 2142046243. The reversal of 2142046221 is 1226402412.

It is a happy number.

It is not a de Polignac number, because 2142046221 - 21 = 2142046219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2142046191 and 2142046200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142046261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186555 + ... + 197703.

It is an arithmetic number, because the mean of its divisors is an integer number (138549900).

Almost surely, 22142046221 is an apocalyptic number.

2142046221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2142046221 is a deficient number, since it is larger than the sum of its proper divisors (1183151379).

2142046221 is a wasteful number, since it uses less digits than its factorization.

2142046221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12466 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2142046221 is about 46282.2452026692. The cubic root of 2142046221 is about 1289.0693407640.

Adding to 2142046221 its reverse (1226402412), we get a palindrome (3368448633).

The spelling of 2142046221 in words is "two billion, one hundred forty-two million, forty-six thousand, two hundred twenty-one".

Divisors: 1 3 7 21 49 147 1307 3921 9149 11149 27447 33447 64043 78043 192129 234129 546301 1638903 14571743 43715229 102002201 306006603 714015407 2142046221