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212201040 = 2435884171
BaseRepresentation
bin11001010010111…
…10111001010000
3112210021221002210
430221132321100
5413310413130
633020112120
75154451632
oct1451367120
9483257083
10212201040
11a9866867
125b095640
1334c6995c
142027aa52
15139695b0
hexca5ee50

212201040 has 40 divisors (see below), whose sum is σ = 657823968. Its totient is φ = 56586880.

The previous prime is 212201039. The next prime is 212201047. The reversal of 212201040 is 40102212.

212201040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441846 + ... + 442325.

Almost surely, 2212201040 is an apocalyptic number.

212201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201040 is an abundant number, since it is smaller than the sum of its proper divisors (445622928).

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

212201040 is a wasteful number, since it uses less digits than its factorization.

212201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884187 (or 884181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212201040 is about 14567.1218845728. The cubic root of 212201040 is about 596.4616185586.

Adding to 212201040 its reverse (40102212), we get a palindrome (252303252).

The spelling of 212201040 in words is "two hundred twelve million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 884171 1768342 2652513 3536684 4420855 5305026 7073368 8841710 10610052 13262565 14146736 17683420 21220104 26525130 35366840 42440208 53050260 70733680 106100520 212201040