Search a number
-
+
212327104 = 2611301601
BaseRepresentation
bin11001010011111…
…01101011000000
3112210112100000211
430221331223000
5413323431404
633022523504
75155515313
oct1451755300
9483470024
10212327104
11a9942550
125b136594
1334cb2152
14202b097a
1513991b04
hexca7dac0

212327104 has 28 divisors (see below), whose sum is σ = 459641448. Its totient is φ = 96512000.

The previous prime is 212327051. The next prime is 212327107. The reversal of 212327104 is 401723212.

212327104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212327107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150097 + ... + 151504.

It is an arithmetic number, because the mean of its divisors is an integer number (16415766).

Almost surely, 2212327104 is an apocalyptic number.

It is an amenable number.

212327104 is an abundant number, since it is smaller than the sum of its proper divisors (247314344).

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

212327104 is a wasteful number, since it uses less digits than its factorization.

212327104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301624 (or 301614 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 212327104 is about 14571.4482464853. The cubic root of 212327104 is about 596.5797101135.

The spelling of 212327104 in words is "two hundred twelve million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 301601 603202 1206404 2412808 3317611 4825616 6635222 9651232 13270444 19302464 26540888 53081776 106163552 212327104