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212012032 = 2101719641
BaseRepresentation
bin11001010001100…
…00110000000000
3112202221022211111
430220300300000
5413233341112
633012053104
75153033611
oct1450606000
9482838744
10212012032
11a9747861
125b004194
1334c0190b
142022bc08
151392d5a7
hexca30c00

212012032 has 88 divisors (see below), whose sum is σ = 473102640. Its totient is φ = 94371840.

The previous prime is 212011993. The next prime is 212012033. The reversal of 212012032 is 230210212.

It is not an unprimeable number, because it can be changed into a prime (212012033) 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, 330432 + ... + 331072.

Almost surely, 2212012032 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 212012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236551320).

212012032 is an abundant number, since it is smaller than the sum of its proper divisors (261090608).

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

212012032 is a wasteful number, since it uses less digits than its factorization.

212012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212012032 is about 14560.6329532751. The cubic root of 212012032 is about 596.2844759998.

Adding to 212012032 its reverse (230210212), we get a palindrome (442222244).

The spelling of 212012032 in words is "two hundred twelve million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 608 641 646 1024 1088 1216 1282 1292 2176 2432 2564 2584 4352 4864 5128 5168 8704 9728 10256 10336 10897 12179 17408 19456 20512 20672 21794 24358 41024 41344 43588 48716 82048 82688 87176 97432 164096 165376 174352 194864 207043 328192 330752 348704 389728 414086 656384 697408 779456 828172 1394816 1558912 1656344 2789632 3117824 3312688 5579264 6235648 6625376 11158528 12471296 13250752 26501504 53003008 106006016 212012032