Search a number
-
+
217251872040 = 23357258633181
BaseRepresentation
bin1100101001010100111…
…0000111110100101000
3202202202122201120220010
43022111032013310220
512024412434401130
6243445405331520
721460463305020
oct3122516076450
9682678646803
10217251872040
1184155021a95
1236131266ba0
131764355c098
14a72d406a80
1559b7d000b0
hex3295387d28

217251872040 has 64 divisors (see below), whose sum is σ = 744863564160. Its totient is φ = 49657570560.

The previous prime is 217251872023. The next prime is 217251872053. The reversal of 217251872040 is 40278152712.

It is a self number, because there is not a number n which added to its sum of digits gives 217251872040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129315751 + ... + 129317430.

It is an arithmetic number, because the mean of its divisors is an integer number (11638493190).

Almost surely, 2217251872040 is an apocalyptic number.

217251872040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217251872040 is an abundant number, since it is smaller than the sum of its proper divisors (527611692120).

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

217251872040 is a wasteful number, since it uses less digits than its factorization.

217251872040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258633202 (or 258633198 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 217251872040 in words is "two hundred seventeen billion, two hundred fifty-one million, eight hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 258633181 517266362 775899543 1034532724 1293165905 1551799086 1810432267 2069065448 2586331810 3103598172 3620864534 3879497715 5172663620 5431296801 6207196344 7241729068 7758995430 9052161335 10345327240 10862593602 14483458136 15517990860 18104322670 21725187204 27156484005 31035981720 36208645340 43450374408 54312968010 72417290680 108625936020 217251872040