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220021100 = 225213247277
BaseRepresentation
bin11010001110101…
…00000101101100
3120100000020012122
431013110011230
5422311133400
633455452112
75311101635
oct1507240554
9510006178
10220021100
11103218122
1261827038
1336777200
142131488c
15144b1685
hexd1d416c

220021100 has 108 divisors (see below), whose sum is σ = 529903584. Its totient is φ = 79223040.

The previous prime is 220021079. The next prime is 220021103. The reversal of 220021100 is 1120022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794162 + ... + 794438.

Almost surely, 2220021100 is an apocalyptic number.

220021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264951792).

220021100 is an abundant number, since it is smaller than the sum of its proper divisors (309882484).

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

220021100 is a wasteful number, since it uses less digits than its factorization.

220021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 220021100 is about 14833.1082379925. The cubic root of 220021100 is about 603.7003725638.

Adding to 220021100 its reverse (1120022), we get a palindrome (221141122).

The spelling of 220021100 in words is "two hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 169 188 235 260 277 325 338 470 554 611 650 676 845 940 1108 1175 1222 1300 1385 1690 2350 2444 2770 3055 3380 3601 4225 4700 5540 6110 6925 7202 7943 8450 12220 13019 13850 14404 15275 15886 16900 18005 26038 27700 30550 31772 36010 39715 46813 52076 61100 65095 72020 79430 90025 93626 130190 158860 169247 180050 187252 198575 234065 260380 325475 338494 360100 397150 468130 650950 676988 794300 846235 936260 1170325 1301900 1692470 2200211 2340650 3384940 4231175 4400422 4681300 8462350 8800844 11001055 16924700 22002110 44004220 55005275 110010550 220021100