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220204032 = 2103431667
BaseRepresentation
bin11010010000000…
…00110000000000
3120100100112010220
431020000300000
5422333012112
633503423040
75312463156
oct1510006000
9510315126
10220204032
11103332604
12618b4a80
133680c559
14213613d6
15144ea98c
hexd200c00

220204032 has 88 divisors (see below), whose sum is σ = 600933696. Its totient is φ = 71651328.

The previous prime is 220204021. The next prime is 220204051. The reversal of 220204032 is 230402022.

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, 131263 + ... + 132929.

It is an arithmetic number, because the mean of its divisors is an integer number (6828792).

Almost surely, 2220204032 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 220204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300466848).

220204032 is an abundant number, since it is smaller than the sum of its proper divisors (380729664).

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

220204032 is a wasteful number, since it uses less digits than its factorization.

220204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220204032 is about 14839.2732975709. The cubic root of 220204032 is about 603.8676376186.

Adding to 220204032 its reverse (230402022), we get a palindrome (450606054).

The spelling of 220204032 in words is "two hundred twenty million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 1667 2064 2752 3072 3334 4128 5001 5504 6668 8256 10002 11008 13336 16512 20004 22016 26672 33024 40008 44032 53344 66048 71681 80016 106688 132096 143362 160032 213376 215043 286724 320064 426752 430086 573448 640128 853504 860172 1146896 1280256 1707008 1720344 2293792 2560512 3440688 4587584 5121024 6881376 9175168 13762752 18350336 27525504 36700672 55051008 73401344 110102016 220204032