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142200225 = 3352293719
BaseRepresentation
bin10000111100111…
…00110110100001
3100220120112001000
420132130312201
5242400401400
622035502213
73344452626
oct1036346641
9326515030
10142200225
11732a5152
123b757969
13235ca95b
1414c5834d
15c73d600
hex879cda1

142200225 has 48 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 75476160.

The previous prime is 142200221. The next prime is 142200229. The reversal of 142200225 is 522002241.

142200225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142200221) and next prime (142200229).

It is not a de Polignac number, because 142200225 - 22 = 142200221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142200198 and 142200207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142200221) 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, 197416 + ... + 198134.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2142200225 is an apocalyptic number.

142200225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142200225 is a deficient number, since it is larger than the sum of its proper divisors (120282975).

142200225 is a wasteful number, since it uses less digits than its factorization.

142200225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 142200225 is about 11924.7735827562. The cubic root of 142200225 is about 521.9554394516.

Adding to 142200225 its reverse (522002241), we get a palindrome (664202466).

The spelling of 142200225 in words is "one hundred forty-two million, two hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 293 675 719 879 1465 2157 2637 3595 4395 6471 7325 7911 10785 13185 17975 19413 21975 32355 39555 53925 65925 97065 161775 197775 210667 485325 632001 1053335 1896003 3160005 5266675 5688009 9480015 15800025 28440045 47400075 142200225