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2142032214 = 23764737879
BaseRepresentation
bin111111110101100…
…1101000101010110
312112021121111210110
41333223031011112
513341330012324
6552315103450
7104036654610
oct17753150526
95467544713
102142032214
119aa137563
124b9441b86
13281a166aa
141646abdb0
15c80bb329
hex7facd156

2142032214 has 32 divisors (see below), whose sum is σ = 4897451520. Its totient is φ = 611836992.

The previous prime is 2142032213. The next prime is 2142032257. The reversal of 2142032214 is 4122302412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142032213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267927 + ... + 275805.

It is an arithmetic number, because the mean of its divisors is an integer number (153045360).

Almost surely, 22142032214 is an apocalyptic number.

2142032214 is an abundant number, since it is smaller than the sum of its proper divisors (2755419306).

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

2142032214 is a wasteful number, since it uses less digits than its factorization.

2142032214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14364.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2142032214 is about 46282.0938808952. The cubic root of 2142032214 is about 1289.0665309843.

Adding to 2142032214 its reverse (4122302412), we get a palindrome (6264334626).

The spelling of 2142032214 in words is "two billion, one hundred forty-two million, thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 6473 7879 12946 15758 19419 23637 38838 45311 47274 55153 90622 110306 135933 165459 271866 330918 51000767 102001534 153002301 306004602 357005369 714010738 1071016107 2142032214