Search a number
-
+
212678070 = 235112411429
BaseRepresentation
bin11001010110100…
…11010110110110
3112211012011110120
430223103112312
5413421144240
633034232410
75161506453
oct1453232666
9484164416
10212678070
11aa062200
125b285706
13350a5b17
142036282a
1513a10ad0
hexcad35b6

212678070 has 96 divisors (see below), whose sum is σ = 575134560. Its totient is φ = 50265600.

The previous prime is 212678051. The next prime is 212678101. The reversal of 212678070 is 70876212.

It is a super-2 number, since 2×2126780702 = 90463922917849800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148116 + ... + 149544.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2212678070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212678070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287567280).

212678070 is an abundant number, since it is smaller than the sum of its proper divisors (362456490).

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

212678070 is a wasteful number, since it uses less digits than its factorization.

212678070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 212678070 is about 14583.4862087225. The cubic root of 212678070 is about 596.9082345647.

The spelling of 212678070 in words is "two hundred twelve million, six hundred seventy-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 121 123 165 205 242 246 330 363 410 451 605 615 726 902 1210 1230 1353 1429 1815 2255 2706 2858 3630 4287 4510 4961 6765 7145 8574 9922 13530 14290 14883 15719 21435 24805 29766 31438 42870 47157 49610 58589 74415 78595 94314 117178 148830 157190 172909 175767 235785 292945 345818 351534 471570 518727 585890 644479 864545 878835 1037454 1288958 1729090 1757670 1933437 2593635 3222395 3866874 5187270 6444790 7089269 9667185 14178538 19334370 21267807 35446345 42535614 70892690 106339035 212678070