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2035214142 = 2313292293929
BaseRepresentation
bin111100101001110…
…1110011100111110
312020211121120221120
41321103232130332
513132003323032
6533541411410
7101302014633
oct17123563476
95224546846
102035214142
11954909565
12489709b66
13265856730
1415442418a
15bda1b62c
hex794ee73e

2035214142 has 64 divisors (see below), whose sum is σ = 4555656000. Its totient is φ = 601832448.

The previous prime is 2035214141. The next prime is 2035214161. The reversal of 2035214142 is 2414125302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2035214141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516034 + ... + 519962.

It is an arithmetic number, because the mean of its divisors is an integer number (71182125).

Almost surely, 22035214142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2035214142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277828000).

2035214142 is an abundant number, since it is smaller than the sum of its proper divisors (2520441858).

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

2035214142 is a wasteful number, since it uses less digits than its factorization.

2035214142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2035214142 is about 45113.3477143960. The cubic root of 2035214142 is about 1267.2725774137.

Adding to 2035214142 its reverse (2414125302), we get a palindrome (4449339444).

The spelling of 2035214142 in words is "two billion, thirty-five million, two hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 229 377 458 687 754 1131 1374 2262 2977 3929 5954 6641 7858 8931 11787 13282 17862 19923 23574 39846 51077 86333 102154 113941 153231 172666 227882 258999 306462 341823 517998 683646 899741 1481233 1799482 2699223 2962466 4443699 5398446 8887398 11696633 23393266 26092489 35089899 52184978 70179798 78277467 156554934 339202357 678404714 1017607071 2035214142