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212443104 = 25319116471
BaseRepresentation
bin11001010100110…
…01111111100000
3112210202020011010
430222121333200
5413341134404
633025220520
75156510436
oct1452317740
9483666133
10212443104
11a9a11715
125b191740
1335022ba3
1420300d56
15139b6189
hexca99fe0

212443104 has 48 divisors (see below), whose sum is σ = 587018880. Its totient is φ = 67086720.

The previous prime is 212443103. The next prime is 212443117. The reversal of 212443104 is 401344212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212443103) 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, 56412 + ... + 60059.

It is an arithmetic number, because the mean of its divisors is an integer number (12229560).

Almost surely, 2212443104 is an apocalyptic number.

212443104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212443104 is an abundant number, since it is smaller than the sum of its proper divisors (374575776).

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

212443104 is a wasteful number, since it uses less digits than its factorization.

212443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116503 (or 116495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 212443104 is about 14575.4280897681. The cubic root of 212443104 is about 596.6883328413.

Adding to 212443104 its reverse (401344212), we get a palindrome (613787316).

The spelling of 212443104 in words is "two hundred twelve million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 116471 232942 349413 465884 698826 931768 1397652 1863536 2212949 2795304 3727072 4425898 5590608 6638847 8851796 11181216 13277694 17703592 26555388 35407184 53110776 70814368 106221552 212443104