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2142330570 = 232571893767
BaseRepresentation
bin111111110110001…
…0101111011001010
312112022011200001200
41333230111323022
513341414034240
6552325325030
7104042336502
oct17754257312
95468150050
102142330570
119aa320736
124b9566776
13281abc433
14164748a02
15c8129930
hex7fb15eca

2142330570 has 96 divisors (see below), whose sum is σ = 5713493760. Its totient is φ = 556765440.

The previous prime is 2142330569. The next prime is 2142330587. The reversal of 2142330570 is 750332412.

2142330570 is a `hidden beast` number, since 21 + 42 + 3 + 30 + 570 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566827 + ... + 570593.

It is an arithmetic number, because the mean of its divisors is an integer number (59515560).

Almost surely, 22142330570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142330570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856746880).

2142330570 is an abundant number, since it is smaller than the sum of its proper divisors (3571163190).

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

2142330570 is a wasteful number, since it uses less digits than its factorization.

2142330570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2142330570 is about 46285.3170022633. The cubic root of 2142330570 is about 1289.1263780268.

Adding to 2142330570 its reverse (750332412), we get a palindrome (2892662982).

The spelling of 2142330570 in words is "two billion, one hundred forty-two million, three hundred thirty thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 89 90 142 178 213 267 355 426 445 534 639 710 801 890 1065 1278 1335 1602 2130 2670 3195 3767 4005 6319 6390 7534 8010 11301 12638 18835 18957 22602 31595 33903 37670 37914 56505 56871 63190 67806 94785 113010 113742 169515 189570 267457 284355 335263 339030 534914 568710 670526 802371 1005789 1337285 1604742 1676315 2011578 2407113 2674570 3017367 3352630 4011855 4814226 5028945 6034734 8023710 10057890 12035565 15086835 23803673 24071130 30173670 47607346 71411019 119018365 142822038 214233057 238036730 357055095 428466114 714110190 1071165285 2142330570