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212235264 = 2103223029
BaseRepresentation
bin11001010011001…
…11010000000000
3112210100200001100
430221213100000
5413313012024
633020534400
75154653463
oct1451472000
9483320040
10212235264
11a988a54a
125b0b1400
1334c7c3c7
14202892da
15139747c9
hexca67400

212235264 has 66 divisors (see below), whose sum is σ = 612851330. Its totient is φ = 70742016.

The previous prime is 212235227. The next prime is 212235271. The reversal of 212235264 is 462532212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 207360000 + 4875264 = 14400^2 + 2208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2299 + ... + 20730.

Almost surely, 2212235264 is an apocalyptic number.

212235264 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 212235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306425665).

212235264 is an abundant number, since it is smaller than the sum of its proper divisors (400616066).

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

212235264 is a wasteful number, since it uses less digits than its factorization.

212235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23055 (or 23034 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 212235264 is about 14568.2965373444. The cubic root of 212235264 is about 596.4936828141.

Adding to 212235264 its reverse (462532212), we get a palindrome (674767476).

The spelling of 212235264 in words is "two hundred twelve million, two hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 23029 46058 69087 92116 138174 184232 207261 276348 368464 414522 552696 736928 829044 1105392 1473856 1658088 2210784 2947712 3316176 4421568 5895424 6632352 8843136 11790848 13264704 17686272 23581696 26529408 35372544 53058816 70745088 106117632 212235264