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212377056 = 25317179727
BaseRepresentation
bin11001010100010…
…01110111100000
3112210121212112220
430222021313200
5413332031211
633023551040
75156114043
oct1452116740
9483555486
10212377056
11a9977031
125b15b480
1334ccbac8
14202c4c5a
15139a1806
hexca89de0

212377056 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 66164736.

The previous prime is 212377031. The next prime is 212377057. The reversal of 212377056 is 650773212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212377057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291765 + ... + 292491.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2212377056 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 212377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

212377056 is an abundant number, since it is smaller than the sum of its proper divisors (382020384).

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

212377056 is a wasteful number, since it uses less digits than its factorization.

212377056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 212377056 is about 14573.1621825876. The cubic root of 212377056 is about 596.6264901564.

The spelling of 212377056 in words is "two hundred twelve million, three hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 179 204 272 358 408 537 544 716 727 816 1074 1432 1454 1632 2148 2181 2864 2908 3043 4296 4362 5728 5816 6086 8592 8724 9129 11632 12172 12359 17184 17448 18258 23264 24344 24718 34896 36516 37077 48688 49436 69792 73032 74154 97376 98872 130133 146064 148308 197744 260266 292128 296616 390399 395488 520532 593232 780798 1041064 1186464 1561596 2082128 2212261 3123192 4164256 4424522 6246384 6636783 8849044 12492768 13273566 17698088 26547132 35396176 53094264 70792352 106188528 212377056