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212011344 = 2434295641
BaseRepresentation
bin11001010001100…
…00100101010000
3112202221021220000
430220300211100
5413233330334
633012050000
75153031606
oct1450604520
9482837800
10212011344
11a9747296
125b003900
1334c014cc
142022b876
151392d299
hexca30950

212011344 has 100 divisors (see below), whose sum is σ = 634894260. Its totient is φ = 68221440.

The previous prime is 212011339. The next prime is 212011357. The reversal of 212011344 is 443110212.

It can be written as a sum of positive squares in 2 ways, for example, as 174556944 + 37454400 = 13212^2 + 6120^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34764 + ... + 40404.

Almost surely, 2212011344 is an apocalyptic number.

212011344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317447130).

212011344 is an abundant number, since it is smaller than the sum of its proper divisors (422882916).

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

212011344 is a wasteful number, since it uses less digits than its factorization.

212011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212011344 is about 14560.6093279093. The cubic root of 212011344 is about 596.2838309984.

Adding to 212011344 its reverse (443110212), we get a palindrome (655121556).

The spelling of 212011344 in words is "two hundred twelve million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 5641 6264 9396 11282 12528 16923 18792 22564 33846 37584 45128 50769 67692 90256 101538 135384 152307 163589 203076 270768 304614 327178 406152 456921 490767 609228 654356 812304 913842 981534 1218456 1308712 1472301 1827684 1963068 2436912 2617424 2944602 3655368 3926136 4416903 5889204 7310736 7852272 8833806 11778408 13250709 17667612 23556816 26501418 35335224 53002836 70670448 106005672 212011344