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220865136 = 24323375407
BaseRepresentation
bin11010010101000…
…10001001110000
3120101121010000020
431022202021300
5423020141021
633525523440
75321215452
oct1512421160
9511533006
10220865136
11103744278
1261b73580
13369b143b
14214942d2
15145cb7c6
hexd2a2270

220865136 has 80 divisors (see below), whose sum is σ = 611579904. Its totient is φ = 68504832.

The previous prime is 220865093. The next prime is 220865149. The reversal of 220865136 is 631568022.

It is a junction number, because it is equal to n+sod(n) for n = 220865097 and 220865106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38145 + ... + 43551.

Almost surely, 2220865136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220865136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305789952).

220865136 is an abundant number, since it is smaller than the sum of its proper divisors (390714768).

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

220865136 is a wasteful number, since it uses less digits than its factorization.

220865136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 220865136 is about 14861.5320879107. The cubic root of 220865136 is about 604.4713511467.

The spelling of 220865136 in words is "two hundred twenty million, eight hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 3404 5106 5407 6808 10212 10814 13616 16221 20424 21628 32442 40848 43256 64884 86512 124361 129768 200059 248722 259536 373083 400118 497444 600177 746166 800236 994888 1200354 1492332 1600472 1989776 2400708 2984664 3200944 4601357 4801416 5969328 9202714 9602832 13804071 18405428 27608142 36810856 55216284 73621712 110432568 220865136