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2142403221 = 3759832251
BaseRepresentation
bin111111110110010…
…0111101010010101
312112022022100201110
41333230213222111
513341423400341
6552331045233
7104043061350
oct17754475225
95468270643
102142403221
119aa370282
124b95a0819
13281b1651a
14164767297
15c8141216
hex7fb27a95

2142403221 has 48 divisors (see below), whose sum is σ = 3373816320. Its totient is φ = 1184244000.

The previous prime is 2142403201. The next prime is 2142403229. The reversal of 2142403221 is 1223042412.

It is not a de Polignac number, because 2142403221 - 27 = 2142403093 is a prime.

It is a super-2 number, since 2×21424032212 = 9179783122702349682, which contains 22 as substring.

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 (2142403229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8535346 + ... + 8535596.

It is an arithmetic number, because the mean of its divisors is an integer number (70287840).

Almost surely, 22142403221 is an apocalyptic number.

2142403221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2142403221 is a deficient number, since it is larger than the sum of its proper divisors (1231413099).

2142403221 is an equidigital number, since it uses as much as digits as its factorization.

2142403221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 403 counting only the distinct ones).

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

The square root of 2142403221 is about 46286.1018125312. The cubic root of 2142403221 is about 1289.1409502040.

Adding to 2142403221 its reverse (1223042412), we get a palindrome (3365445633).

The spelling of 2142403221 in words is "two billion, one hundred forty-two million, four hundred three thousand, two hundred twenty-one".

Divisors: 1 3 7 21 59 83 177 249 251 413 581 753 1239 1743 1757 4897 5271 6889 14691 14809 20667 20833 34279 44427 48223 62499 102837 103663 144669 145831 310989 406451 437493 1219353 1229147 1729139 2845157 3687441 5187417 8535471 8604029 12103973 25812087 36311919 102019201 306057603 714134407 2142403221