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212795046 = 23343113811
BaseRepresentation
bin11001010111011…
…11111010100110
3112211102002221000
430223233322212
5413433420141
633040534130
75162504502
oct1453577246
9484362830
10212795046
11aa132082
125b321346
1335117139
1420393302
1513a355b6
hexcaefea6

212795046 has 64 divisors (see below), whose sum is σ = 488759040. Its totient is φ = 68584320.

The previous prime is 212794997. The next prime is 212795087. The reversal of 212795046 is 640597212.

212795046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212795046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261981 + ... + 262791.

It is an arithmetic number, because the mean of its divisors is an integer number (7636860).

Almost surely, 2212795046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212795046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244379520).

212795046 is an abundant number, since it is smaller than the sum of its proper divisors (275963994).

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

212795046 is a wasteful number, since it uses less digits than its factorization.

212795046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 212795046 is about 14587.4962210792. The cubic root of 212795046 is about 597.0176505476.

The spelling of 212795046 in words is "two hundred twelve million, seven hundred ninety-five thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 113 129 226 258 339 387 678 774 811 1017 1161 1622 2034 2322 2433 3051 4859 4866 6102 7299 9718 14577 14598 21897 29154 34873 43731 43794 69746 87462 91643 104619 131193 183286 209238 262386 274929 313857 549858 627714 824787 941571 1649574 1883142 2474361 3940649 4948722 7881298 11821947 23643894 35465841 70931682 106397523 212795046