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213850112 = 211722131
BaseRepresentation
bin11001011111100…
…01100000000000
3112220101201012112
430233301200000
5414221200422
633115314452
75204460500
oct1457614000
9486351175
10213850112
11aa792833
125b74ba28
13353c6438
1420589a00
1513b92ee2
hexcbf1800

213850112 has 72 divisors (see below), whose sum is σ = 497640780. Its totient is φ = 91607040.

The previous prime is 213850103. The next prime is 213850129. The reversal of 213850112 is 211058312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99287 + ... + 101417.

Almost surely, 2213850112 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 213850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248820390).

213850112 is an abundant number, since it is smaller than the sum of its proper divisors (283790668).

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

213850112 is an equidigital number, since it uses as much as digits as its factorization.

213850112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 213850112 is about 14623.6148745787. The cubic root of 213850112 is about 598.0027218065.

The spelling of 213850112 in words is "two hundred thirteen million, eight hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2131 3136 3584 4262 6272 7168 8524 12544 14336 14917 17048 25088 29834 34096 50176 59668 68192 100352 104419 119336 136384 208838 238672 272768 417676 477344 545536 835352 954688 1091072 1670704 1909376 2182144 3341408 3818752 4364288 6682816 7637504 13365632 15275008 26731264 30550016 53462528 106925056 213850112