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212233896 = 233272431399
BaseRepresentation
bin11001010011001…
…10111010101000
3112210100121011200
430221212322220
5413312441041
633020524200
75154646500
oct1451467250
9483317150
10212233896
11a9889516
125b0b0660
1334c7b8b4
1420288a00
15139741b6
hexca66ea8

212233896 has 144 divisors (see below), whose sum is σ = 684684000. Its totient is φ = 59185728.

The previous prime is 212233867. The next prime is 212233907. The reversal of 212233896 is 698332212.

212233896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122338962 = 90086453222677632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 212233896.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151005 + ... + 152403.

It is an arithmetic number, because the mean of its divisors is an integer number (4754750).

Almost surely, 2212233896 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 212233896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342342000).

212233896 is an abundant number, since it is smaller than the sum of its proper divisors (472450104).

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

212233896 is a wasteful number, since it uses less digits than its factorization.

212233896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1454 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 212233896 is about 14568.2495860004. The cubic root of 212233896 is about 596.4924012094.

The spelling of 212233896 in words is "two hundred twelve million, two hundred thirty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 49 56 63 72 84 86 98 126 129 147 168 172 196 252 258 294 301 344 387 392 441 504 516 588 602 774 882 903 1032 1176 1204 1399 1548 1764 1806 2107 2408 2709 2798 3096 3528 3612 4197 4214 5418 5596 6321 7224 8394 8428 9793 10836 11192 12591 12642 16788 16856 18963 19586 21672 25182 25284 29379 33576 37926 39172 50364 50568 58758 60157 68551 75852 78344 88137 100728 117516 120314 137102 151704 176274 180471 205653 235032 240628 274204 352548 360942 411306 421099 481256 541413 548408 616959 705096 721884 822612 842198 1082826 1233918 1263297 1443768 1645224 1684396 2165652 2467836 2526594 2947693 3368792 3789891 4331304 4935672 5053188 5895386 7579782 8843079 10106376 11790772 15159564 17686158 23581544 26529237 30319128 35372316 53058474 70744632 106116948 212233896