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216021834 = 23274613719
BaseRepresentation
bin11001110000000…
…11101101001010
3120001111001020200
430320003231022
5420300144314
633234033030
75232104160
oct1470035512
9501431220
10216021834
11100a36446
1260418776
13359a6a92
1420993230
1513e71709
hexce03b4a

216021834 has 48 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 61570080.

The previous prime is 216021829. The next prime is 216021847. The reversal of 216021834 is 438120612.

216021834 is a `hidden beast` number, since 21 + 602 + 1 + 8 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216021798 and 216021807.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56227 + ... + 59945.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2216021834 is an apocalyptic number.

216021834 is an abundant number, since it is smaller than the sum of its proper divisors (320193846).

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

216021834 is a wasteful number, since it uses less digits than its factorization.

216021834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216021834 is about 14697.6812456931. The cubic root of 216021834 is about 600.0202159855.

It can be divided in two parts, 21602 and 1834, that added together give a triangular number (23436 = T216).

The spelling of 216021834 in words is "two hundred sixteen million, twenty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 461 922 1383 2766 3227 3719 4149 6454 7438 8298 9681 11157 19362 22314 26033 29043 33471 52066 58086 66942 78099 156198 234297 468594 1714459 3428918 5143377 10286754 12001213 15430131 24002426 30860262 36003639 72007278 108010917 216021834