Search a number
-
+
215516730 = 235112134567
BaseRepresentation
bin11001101100010…
…00011000111010
3120000112101101010
430312020120322
5420133013410
633215134350
75224601442
oct1466103072
9500471333
10215516730
11100720a00
12602143b6
133585abc0
14208a1122
1513dc1c20
hexcd8863a

215516730 has 96 divisors (see below), whose sum is σ = 612404352. Its totient is φ = 48216960.

The previous prime is 215516699. The next prime is 215516759. The reversal of 215516730 is 37615512.

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

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 47 ways as a sum of consecutive naturals, for example, 44907 + ... + 49473.

It is an arithmetic number, because the mean of its divisors is an integer number (6379212).

Almost surely, 2215516730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215516730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306202176).

215516730 is an abundant number, since it is smaller than the sum of its proper divisors (396887622).

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

215516730 is a wasteful number, since it uses less digits than its factorization.

215516730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 215516730 is about 14680.4880709055. The cubic root of 215516730 is about 599.5521936434.

The spelling of 215516730 in words is "two hundred fifteen million, five hundred sixteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3630 4290 4567 4719 7865 9134 9438 13701 15730 22835 23595 27402 45670 47190 50237 59371 68505 100474 118742 137010 150711 178113 251185 296855 301422 356226 502370 552607 593710 653081 753555 890565 1105214 1306162 1507110 1657821 1781130 1959243 2763035 3265405 3315642 3918486 5526070 6530810 7183891 8289105 9796215 14367782 16578210 19592430 21551673 35919455 43103346 71838910 107758365 215516730