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217365382140 = 22353622756369
BaseRepresentation
bin1100101001101111111…
…1001000001111111100
3202210001120022111110220
43022123333020033330
512030131014212030
6243504542301340
721463342156164
oct3123377101774
9683046274426
10217365382140
1184203100895
1236163287850
1317660c2301a
14a7405135a4
1559c2c72a10
hex329bfc83fc

217365382140 has 24 divisors (see below), whose sum is σ = 608623070160. Its totient is φ = 57964101888.

The previous prime is 217365382139. The next prime is 217365382153. The reversal of 217365382140 is 41283563712.

217365382140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 217365382092 and 217365382101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811378125 + ... + 1811378244.

It is an arithmetic number, because the mean of its divisors is an integer number (25359294590).

Almost surely, 2217365382140 is an apocalyptic number.

217365382140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217365382140 is an abundant number, since it is smaller than the sum of its proper divisors (391257688020).

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

217365382140 is a wasteful number, since it uses less digits than its factorization.

217365382140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622756381 (or 3622756379 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 217365382140 in words is "two hundred seventeen billion, three hundred sixty-five million, three hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3622756369 7245512738 10868269107 14491025476 18113781845 21736538214 36227563690 43473076428 54341345535 72455127380 108682691070 217365382140