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212158128 = 24371348571
BaseRepresentation
bin11001010010101…
…00011010110000
3112210012202020110
430221110122300
5413303030003
633015141320
75154212550
oct1451243260
9483182213
10212158128
11a98375a6
125b074840
1334c53270
1420269160
151395ba03
hexca546b0

212158128 has 80 divisors (see below), whose sum is σ = 674567936. Its totient is φ = 55952640.

The previous prime is 212158127. The next prime is 212158151. The reversal of 212158128 is 821851212.

212158128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121581282 = 90022142552928768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212158095 and 212158104.

It is not an unprimeable number, because it can be changed into a prime (212158127) 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, 19918 + ... + 28653.

Almost surely, 2212158128 is an apocalyptic number.

212158128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212158128 is an abundant number, since it is smaller than the sum of its proper divisors (462409808).

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

212158128 is a wasteful number, since it uses less digits than its factorization.

212158128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48602 (or 48596 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 212158128 is about 14565.6489041855. The cubic root of 212158128 is about 596.4214096973.

The spelling of 212158128 in words is "two hundred twelve million, one hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 48571 97142 145713 194284 291426 339997 388568 582852 631423 679994 777136 1019991 1165704 1262846 1359988 1894269 2039982 2331408 2525692 2719976 3788538 4079964 4419961 5051384 5439952 7577076 8159928 8839922 10102768 13259883 15154152 16319856 17679844 26519766 30308304 35359688 53039532 70719376 106079064 212158128