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212204104 = 2372653829
BaseRepresentation
bin11001010010111…
…11101001001000
3112210022002022021
430221133221020
5413311012404
633020134224
75154463600
oct1451375110
9483262267
10212204104
11a98690a2
125b097374
1334c6b178
142027bc00
151396a454
hexca5fa48

212204104 has 48 divisors (see below), whose sum is σ = 464111100. Its totient is φ = 90695808.

The previous prime is 212204101. The next prime is 212204137. The reversal of 212204104 is 401402212.

212204104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 209960100 + 2244004 = 14490^2 + 1498^2 .

It is not an unprimeable number, because it can be changed into a prime (212204101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255562 + ... + 256390.

Almost surely, 2212204104 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 212204104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232055550).

212204104 is an abundant number, since it is smaller than the sum of its proper divisors (251906996).

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

212204104 is a wasteful number, since it uses less digits than its factorization.

212204104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 212204104 is about 14567.2270525313. The cubic root of 212204104 is about 596.4644893418.

Adding to 212204104 its reverse (401402212), we get a palindrome (613606316).

The spelling of 212204104 in words is "two hundred twelve million, two hundred four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 653 829 1306 1658 2612 3316 4571 5224 5803 6632 9142 11606 18284 23212 31997 36568 40621 46424 63994 81242 127988 162484 255976 324968 541337 1082674 2165348 3789359 4330696 7578718 15157436 26525513 30314872 53051026 106102052 212204104