Search a number
-
+
220688064 = 263442571
BaseRepresentation
bin11010010011101…
…10111011000000
3120101021010010000
431021312323000
5422444004224
633522040000
75316550302
oct1511667300
9511233100
10220688064
11103633233
1261aa9000
133694b96c
1421449972
15145940c9
hexd276ec0

220688064 has 70 divisors (see below), whose sum is σ = 654203924. Its totient is φ = 73560960.

The previous prime is 220688029. The next prime is 220688081. The reversal of 220688064 is 460886022.

220688064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16102 + ... + 26469.

Almost surely, 2220688064 is an apocalyptic number.

220688064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220688064 is an abundant number, since it is smaller than the sum of its proper divisors (433515860).

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

220688064 is an equidigital number, since it uses as much as digits as its factorization.

220688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42595 (or 42576 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 220688064 is about 14855.5734995321. The cubic root of 220688064 is about 604.3097690310.

The spelling of 220688064 in words is "two hundred twenty million, six hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 42571 85142 127713 170284 255426 340568 383139 510852 681136 766278 1021704 1149417 1362272 1532556 2043408 2298834 2724544 3065112 3448251 4086816 4597668 6130224 6896502 8173632 9195336 12260448 13793004 18390672 24520896 27586008 36781344 55172016 73562688 110344032 220688064