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220575096 = 233371131291
BaseRepresentation
bin11010010010110…
…11010101111000
3120101001101011000
431021123111320
5422431400341
633515405000
75315600040
oct1511332570
9511041130
10220575096
11103566375
1261a53760
133690c411
142141a720
15145708b6
hexd25b578

220575096 has 128 divisors (see below), whose sum is σ = 706982400. Its totient is φ = 62415360.

The previous prime is 220575071. The next prime is 220575097. The reversal of 220575096 is 690575022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220575096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220575097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170211 + ... + 171501.

It is an arithmetic number, because the mean of its divisors is an integer number (5523300).

Almost surely, 2220575096 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 220575096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353491200).

220575096 is an abundant number, since it is smaller than the sum of its proper divisors (486407304).

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

220575096 is a wasteful number, since it uses less digits than its factorization.

220575096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 220575096 is about 14851.7708035103. The cubic root of 220575096 is about 604.2066380678.

The spelling of 220575096 in words is "two hundred twenty million, five hundred seventy-five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 678 756 791 904 1017 1291 1356 1512 1582 2034 2373 2582 2712 3051 3164 3873 4068 4746 5164 6102 6328 7119 7746 8136 9037 9492 10328 11619 12204 14238 15492 18074 18984 21357 23238 24408 27111 28476 30984 34857 36148 42714 46476 54222 56952 69714 72296 81333 85428 92952 108444 139428 145883 162666 170856 216888 243999 278856 291766 325332 437649 487998 583532 650664 875298 975996 1021181 1167064 1312947 1750596 1951992 2042362 2625894 3063543 3501192 3938841 4084724 5251788 6127086 7877682 8169448 9190629 10503576 12254172 15755364 18381258 24508344 27571887 31510728 36762516 55143774 73525032 110287548 220575096