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213270225 = 35272711499
BaseRepresentation
bin11001011011000…
…11111011010001
3112212022020202020
430231203323101
5414044121400
633055042053
75166524040
oct1455437321
9485266666
10213270225
11aa427093
125b510329
13352524cc
1420478557
1513acb2a0
hexcb63ed1

213270225 has 48 divisors (see below), whose sum is σ = 404736000. Its totient is φ = 97070400.

The previous prime is 213270223. The next prime is 213270241. The reversal of 213270225 is 522072312.

It is a happy number.

It is not a de Polignac number, because 213270225 - 21 = 213270223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213270195 and 213270204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213270221) 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, 141526 + ... + 143024.

It is an arithmetic number, because the mean of its divisors is an integer number (8432000).

Almost surely, 2213270225 is an apocalyptic number.

213270225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213270225 is a deficient number, since it is larger than the sum of its proper divisors (191465775).

213270225 is a wasteful number, since it uses less digits than its factorization.

213270225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 213270225 is about 14603.7743409024. The cubic root of 213270225 is about 597.4617074834.

The spelling of 213270225 in words is "two hundred thirteen million, two hundred seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 271 525 813 1355 1499 1897 4065 4497 5691 6775 7495 9485 10493 20325 22485 28455 31479 37475 47425 52465 112425 142275 157395 262325 406229 786975 1218687 2031145 2843603 6093435 8530809 10155725 14218015 30467175 42654045 71090075 213270225