Search a number
-
+
212210100 = 223252235789
BaseRepresentation
bin11001010011000…
…01000110110100
3112210022101112100
430221201012310
5413311210400
633020222100
75154520224
oct1451410664
9483271470
10212210100
11a9872653
125b09a930
1334c70b0b
1420280084
151396c100
hexca611b4

212210100 has 54 divisors (see below), whose sum is σ = 665163590. Its totient is φ = 56589120.

The previous prime is 212210093. The next prime is 212210111. The reversal of 212210100 is 1012212.

It can be written as a sum of positive squares in 3 ways, for example, as 56160036 + 156050064 = 7494^2 + 12492^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116995 + ... + 118794.

Almost surely, 2212210100 is an apocalyptic number.

212210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210100 is an abundant number, since it is smaller than the sum of its proper divisors (452953490).

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

212210100 is a wasteful number, since it uses less digits than its factorization.

212210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235809 (or 235799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212210100 is about 14567.4328555171. The cubic root of 212210100 is about 596.4701071524.

Adding to 212210100 its reverse (1012212), we get a palindrome (213222312).

The spelling of 212210100 in words is "two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 235789 471578 707367 943156 1178945 1414734 2122101 2357890 2829468 3536835 4244202 4715780 5894725 7073670 8488404 10610505 11789450 14147340 17684175 21221010 23578900 35368350 42442020 53052525 70736700 106105050 212210100