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414466212 = 223411077873
BaseRepresentation
bin11000101101000…
…100000010100100
31001212220001202110
4120231010002210
51322100404322
6105043241020
713161622206
oct3055040244
91055801673
10414466212
111a2a56666
12b6979170
1367b37ca4
143d08c776
15265bec0c
hex18b440a4

414466212 has 48 divisors (see below), whose sum is σ = 1000060992. Its totient is φ = 133509120.

The previous prime is 414466211. The next prime is 414466219. The reversal of 414466212 is 212664414.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414466212.

It is not an unprimeable number, because it can be changed into a prime (414466211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48708 + ... + 56580.

It is an arithmetic number, because the mean of its divisors is an integer number (20834604).

Almost surely, 2414466212 is an apocalyptic number.

It is an amenable number.

414466212 is an abundant number, since it is smaller than the sum of its proper divisors (585594780).

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

414466212 is a wasteful number, since it uses less digits than its factorization.

414466212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8026 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 414466212 is about 20358.4432607211. The cubic root of 414466212 is about 745.5836526568.

The spelling of 414466212 in words is "four hundred fourteen million, four hundred sixty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 107 123 164 214 246 321 428 492 642 1284 4387 7873 8774 13161 15746 17548 23619 26322 31492 47238 52644 94476 322793 645586 842411 968379 1291172 1684822 1936758 2527233 3369644 3873516 5054466 10108932 34538851 69077702 103616553 138155404 207233106 414466212