Search a number
-
+
217356240 = 2435905651
BaseRepresentation
bin11001111010010…
…01011111010000
3120010222211201010
430331021133100
5421120344430
633322410520
75246332443
oct1475113720
9503884633
10217356240
11101767a62
1260960a40
133605327a
1420c1d65a
1514136cb0
hexcf497d0

217356240 has 40 divisors (see below), whose sum is σ = 673805088. Its totient is φ = 57961600.

The previous prime is 217356229. The next prime is 217356263. The reversal of 217356240 is 42653712.

217356240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 217356198 and 217356207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452586 + ... + 453065.

Almost surely, 2217356240 is an apocalyptic number.

217356240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217356240 is an abundant number, since it is smaller than the sum of its proper divisors (456448848).

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

217356240 is a wasteful number, since it uses less digits than its factorization.

217356240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905667 (or 905661 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 217356240 is about 14743.0064776490. The cubic root of 217356240 is about 601.2531586114.

The spelling of 217356240 in words is "two hundred seventeen million, three hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 905651 1811302 2716953 3622604 4528255 5433906 7245208 9056510 10867812 13584765 14490416 18113020 21735624 27169530 36226040 43471248 54339060 72452080 108678120 217356240