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220879872 = 210342663
BaseRepresentation
bin11010010101001…
…01110000000000
3120101121212020000
431022211300000
5423021123442
633530120000
75321306433
oct1512456000
9511555200
10220879872
11103754354
1261b80000
13369b8065
142149981a
15145d0d4c
hexd2a5c00

220879872 has 110 divisors (see below), whose sum is σ = 659838168. Its totient is φ = 73598976.

The previous prime is 220879871. The next prime is 220879873. The reversal of 220879872 is 278978022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220879871) and next prime (220879873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220879871) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81613 + ... + 84275.

Almost surely, 2220879872 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 220879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329919084).

220879872 is an abundant number, since it is smaller than the sum of its proper divisors (438958296).

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

220879872 is an equidigital number, since it uses as much as digits as its factorization.

220879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 220879872 is about 14862.0278562516. The cubic root of 220879872 is about 604.4847941794.

The spelling of 220879872 in words is "two hundred twenty million, eight hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 2663 3072 3456 4608 5184 5326 6912 7989 9216 10368 10652 13824 15978 20736 21304 23967 27648 31956 41472 42608 47934 63912 71901 82944 85216 95868 127824 143802 170432 191736 215703 255648 287604 340864 383472 431406 511296 575208 681728 766944 862812 1022592 1150416 1363456 1533888 1725624 2045184 2300832 2726912 3067776 3451248 4090368 4601664 6135552 6902496 8180736 9203328 12271104 13804992 18406656 24542208 27609984 36813312 55219968 73626624 110439936 220879872