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212334304 = 2571327179
BaseRepresentation
bin11001010011111…
…11011011100000
3112210112200220111
430221333123200
5413324144204
633023021104
75155545310
oct1451773340
9483480814
10212334304
11a99479a6
125b13a794
1334cb5500
14202b3440
1513993d04
hexca7f6e0

212334304 has 144 divisors (see below), whose sum is σ = 531256320. Its totient is φ = 81768960.

The previous prime is 212334281. The next prime is 212334313. The reversal of 212334304 is 403433212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2687737 + ... + 2687815.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2212334304 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 212334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265628160).

212334304 is an abundant number, since it is smaller than the sum of its proper divisors (318922016).

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

212334304 is a wasteful number, since it uses less digits than its factorization.

212334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 212334304 is about 14571.6953028809. The cubic root of 212334304 is about 596.5864533653.

Adding to 212334304 its reverse (403433212), we get a palindrome (615767516).

The spelling of 212334304 in words is "two hundred twelve million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 71 79 91 104 112 142 158 169 182 208 224 284 316 338 364 416 497 553 568 632 676 728 923 994 1027 1106 1136 1183 1264 1352 1456 1846 1988 2054 2212 2272 2366 2528 2704 2912 3692 3976 4108 4424 4732 5408 5609 6461 7189 7384 7952 8216 8848 9464 11218 11999 12922 13351 14378 14768 15904 16432 17696 18928 22436 23998 25844 26702 28756 29536 32864 37856 39263 44872 47996 51688 53404 57512 72917 78526 83993 89744 93457 95992 103376 106808 115024 145834 157052 167986 179488 186914 191984 206752 213616 230048 291668 314104 335972 373828 383968 427232 510419 583336 628208 671944 747656 947921 1020838 1166672 1256416 1343888 1495312 1895842 2041676 2333344 2687776 2990624 3791684 4083352 6635447 7583368 8166704 13270894 15166736 16333408 26541788 30333472 53083576 106167152 212334304