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212838336 = 26322231657
BaseRepresentation
bin11001010111110…
…10011111000000
3112211111022022100
430223322133000
5413441311321
633041510400
75163044634
oct1453723700
9484438270
10212838336
11aa161657
125b342400
1335130a59
14203a4dc4
1513a43326
hexcafa7c0

212838336 has 84 divisors (see below), whose sum is σ = 613168192. Its totient is φ = 70585344.

The previous prime is 212838299. The next prime is 212838371. The reversal of 212838336 is 633838212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212838336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127620 + ... + 129276.

Almost surely, 2212838336 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 212838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306584096).

212838336 is an abundant number, since it is smaller than the sum of its proper divisors (400329856).

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

212838336 is a wasteful number, since it uses less digits than its factorization.

212838336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1885 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 212838336 is about 14588.9799506340. The cubic root of 212838336 is about 597.0581326017.

The spelling of 212838336 in words is "two hundred twelve million, eight hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 1338 1657 1784 2007 2676 3314 3568 4014 4971 5352 6628 7136 8028 9942 10704 13256 14272 14913 16056 19884 21408 26512 29826 32112 39768 42816 53024 59652 64224 79536 106048 119304 128448 159072 238608 318144 369511 477216 739022 954432 1108533 1478044 2217066 2956088 3325599 4434132 5912176 6651198 8868264 11824352 13302396 17736528 23648704 26604792 35473056 53209584 70946112 106419168 212838336