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210284152 = 231317831433
BaseRepresentation
bin11001000100010…
…10111001111000
3112122200112121221
430202022321320
5412313043102
632511041424
75132246221
oct1442127170
9478615557
10210284152
11a8777661
125a510274
13347482c0
141dcdc248
15136db637
hexc88ae78

210284152 has 64 divisors (see below), whose sum is σ = 455323680. Its totient is φ = 90181632.

The previous prime is 210284149. The next prime is 210284161. The reversal of 210284152 is 251482012.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146028 + ... + 147460.

Almost surely, 2210284152 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 210284152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227661840).

210284152 is an abundant number, since it is smaller than the sum of its proper divisors (245039528).

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

210284152 is a wasteful number, since it uses less digits than its factorization.

210284152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 210284152 is about 14501.1776073531. The cubic root of 210284152 is about 594.6601660851.

The spelling of 210284152 in words is "two hundred ten million, two hundred eighty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 83 104 136 166 221 332 442 664 884 1079 1411 1433 1768 2158 2822 2866 4316 5644 5732 8632 11288 11464 18343 18629 24361 36686 37258 48722 73372 74516 97444 118939 146744 149032 194888 237878 316693 475756 633386 951512 1266772 1546207 2021963 2533544 3092414 4043926 6184828 8087852 12369656 16175704 26285519 52571038 105142076 210284152