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2142332214 = 2311173735119
BaseRepresentation
bin111111110110001…
…0110010100110110
312112022011202022120
41333230112110312
513341414112324
6552325340410
7104042344341
oct17754262466
95468152276
102142332214
119aa3219a0
124b9567706
13281ac00c9
14164749458
15c812a179
hex7fb16536

2142332214 has 64 divisors (see below), whose sum is σ = 4963368960. Its totient is φ = 609246720.

The previous prime is 2142332207. The next prime is 2142332243. The reversal of 2142332214 is 4122332412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 415947 + ... + 421065.

It is an arithmetic number, because the mean of its divisors is an integer number (77552640).

Almost surely, 22142332214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142332214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481684480).

2142332214 is an abundant number, since it is smaller than the sum of its proper divisors (2821036746).

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

2142332214 is a wasteful number, since it uses less digits than its factorization.

2142332214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525.

The product of its digits is 2304, while the sum is 24.

The square root of 2142332214 is about 46285.3347616715. The cubic root of 2142332214 is about 1289.1267077804.

Adding to 2142332214 its reverse (4122332412), we get a palindrome (6264664626).

The spelling of 2142332214 in words is "two billion, one hundred forty-two million, three hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 373 374 561 746 1119 1122 2238 4103 5119 6341 8206 10238 12309 12682 15357 19023 24618 30714 38046 56309 69751 87023 112618 139502 168927 174046 209253 261069 337854 418506 522138 957253 1909387 1914506 2871759 3818774 5728161 5743518 11456322 21003257 32459579 42006514 63009771 64919158 97378737 126019542 194757474 357055369 714110738 1071166107 2142332214