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212030252 = 227329732
BaseRepresentation
bin11001010001101…
…01001100101100
3112202222020211022
430220311030230
5413234432002
633012313312
75153141000
oct1450651454
9482866738
10212030252
11a975a515
125b012838
1334c09cb5
1420234700
1513933ba2
hexca3532c

212030252 has 72 divisors (see below), whose sum is σ = 453852000. Its totient is φ = 86534784.

The previous prime is 212030201. The next prime is 212030257. The reversal of 212030252 is 252030212.

It is a self number, because there is not a number n which added to its sum of digits gives 212030252.

It is not an unprimeable number, because it can be changed into a prime (212030257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904488 + ... + 2904560.

It is an arithmetic number, because the mean of its divisors is an integer number (6303500).

Almost surely, 2212030252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212030252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226926000).

212030252 is an abundant number, since it is smaller than the sum of its proper divisors (241821748).

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

212030252 is an equidigital number, since it uses as much as digits as its factorization.

212030252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 212030252 is about 14561.2585994481. The cubic root of 212030252 is about 596.3015567787.

Adding to 212030252 its reverse (252030212), we get a palindrome (464060464).

The spelling of 212030252 in words is "two hundred twelve million, thirty thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 49 58 73 98 116 146 196 203 292 343 406 511 686 812 1022 1372 1421 2044 2117 2842 3577 4234 5329 5684 7154 8468 9947 10658 14308 14819 19894 21316 25039 29638 37303 39788 50078 59276 74606 100156 103733 149212 154541 207466 261121 309082 414932 522242 618164 726131 1044484 1081787 1452262 1827847 2163574 2904524 3655694 4327148 7311388 7572509 15145018 30290036 53007563 106015126 212030252