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212276430 = 23352334183
BaseRepresentation
bin11001010011100…
…01010011001110
3112210102202112000
430221301103032
5413320321210
633021453130
75155214502
oct1451612316
9483382460
10212276430
11a9908473
125b1111a6
1334c95072
142029a302
1513981ac0
hexca714ce

212276430 has 64 divisors (see below), whose sum is σ = 590699520. Its totient is φ = 54144288.

The previous prime is 212276429. The next prime is 212276443. The reversal of 212276430 is 34672212.

212276430 is a `hidden beast` number, since 2 + 1 + 227 + 6 + 430 = 666.

212276430 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122764302 = 90122565467089800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212276394 and 212276403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10882 + ... + 23301.

It is an arithmetic number, because the mean of its divisors is an integer number (9229680).

Almost surely, 2212276430 is an apocalyptic number.

212276430 is an abundant number, since it is smaller than the sum of its proper divisors (378423090).

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

212276430 is a wasteful number, since it uses less digits than its factorization.

212276430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34222 (or 34216 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 212276430 is about 14569.7093313491. The cubic root of 212276430 is about 596.5322464204.

The spelling of 212276430 in words is "two hundred twelve million, two hundred seventy-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 34183 68366 102549 170915 205098 307647 341830 512745 615294 786209 922941 1025490 1538235 1572418 1845882 2358627 3076470 3931045 4614705 4717254 7075881 7862090 9229410 11793135 14151762 21227643 23586270 35379405 42455286 70758810 106138215 212276430