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212002252 = 22711838293
BaseRepresentation
bin11001010001011…
…10010111001100
3112202220211102021
430220232113030
5413233033002
633011535524
75152663240
oct1450562714
9482824367
10212002252
11a9740480
125abba5a4
1334bca327
1420228420
151392a737
hexca2e5cc

212002252 has 48 divisors (see below), whose sum is σ = 468179712. Its totient is φ = 81593280.

The previous prime is 212002229. The next prime is 212002261. The reversal of 212002252 is 252200212.

212002252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21418 + ... + 29710.

It is an arithmetic number, because the mean of its divisors is an integer number (9753744).

Almost surely, 2212002252 is an apocalyptic number.

212002252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212002252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234089856).

212002252 is an abundant number, since it is smaller than the sum of its proper divisors (256177460).

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

212002252 is a wasteful number, since it uses less digits than its factorization.

212002252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 212002252 is about 14560.2971123532. The cubic root of 212002252 is about 596.2753070990.

Adding to 212002252 its reverse (252200212), we get a palindrome (464202464).

The spelling of 212002252 in words is "two hundred twelve million, two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 154 166 308 332 581 913 1162 1826 2324 3652 6391 8293 12782 16586 25564 33172 58051 91223 116102 182446 232204 364892 638561 688319 1277122 1376638 2554244 2753276 4818233 7571509 9636466 15143018 19272932 30286036 53000563 106001126 212002252