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2142855225 = 325278915287
BaseRepresentation
bin111111110111001…
…0110000000111001
312112100011022202100
41333232112000321
513342032331400
6552344454013
7104046653220
oct17756260071
95470138670
102142855225
119aa649935
124b977a309
13281c44194
14164843cb7
15c81d0100
hex7fb96039

2142855225 has 72 divisors (see below), whose sum is σ = 4435966080. Its totient is φ = 968520960.

The previous prime is 2142855217. The next prime is 2142855233. The reversal of 2142855225 is 5225582412.

2142855225 is a `hidden beast` number, since 2 + 1 + 428 + 5 + 5 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (2142855217) and next prime (2142855233).

It is not a de Polignac number, because 2142855225 - 23 = 2142855217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2142855225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132532 + ... + 147818.

It is an arithmetic number, because the mean of its divisors is an integer number (61610640).

Almost surely, 22142855225 is an apocalyptic number.

2142855225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2142855225 is an abundant number, since it is smaller than the sum of its proper divisors (2293110855).

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

2142855225 is a wasteful number, since it uses less digits than its factorization.

2142855225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15399 (or 15391 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 2142855225 is about 46290.9842733982. The cubic root of 2142855225 is about 1289.2316047683.

The spelling of 2142855225 in words is "two billion, one hundred forty-two million, eight hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 89 105 175 225 267 315 445 525 623 801 1335 1575 1869 2225 3115 4005 5607 6675 9345 15287 15575 20025 28035 45861 46725 76435 107009 137583 140175 229305 321027 382175 535045 687915 963081 1146525 1360543 1605135 2675225 3439575 4081629 4815405 6802715 8025675 9523801 12244887 20408145 24077025 28571403 34013575 47619005 61224435 85714209 102040725 142857015 238095025 306122175 428571045 714285075 2142855225