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220202020 = 225171989383
BaseRepresentation
bin11010010000000…
…00010000100100
3120100100102101101
431020000100210
5422332431040
633503405444
75312454253
oct1510002044
9510312341
10220202020
11103331045
12618b3884
133680b66c
142136079a
15144ea09a
hexd200424

220202020 has 96 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 77451264.

The previous prime is 220201991. The next prime is 220202051. The reversal of 220202020 is 20202022.

It is a super-2 number, since 2×2202020202 = 96977859224160800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

220202020 is a modest number, since divided by 202020 gives 220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 220201988 and 220202006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574749 + ... + 575131.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2220202020 is an apocalyptic number.

220202020 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 220202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

220202020 is an abundant number, since it is smaller than the sum of its proper divisors (302345180).

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

220202020 is a wasteful number, since it uses less digits than its factorization.

220202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 220202020 is about 14839.2055043388. The cubic root of 220202020 is about 603.8657984374.

Adding to 220202020 its reverse (20202022), we get a palindrome (240404042).

The spelling of 220202020 in words is "two hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 89 95 170 178 190 323 340 356 380 383 445 646 766 890 1292 1513 1532 1615 1691 1780 1915 3026 3230 3382 3830 6052 6460 6511 6764 7277 7565 7660 8455 13022 14554 15130 16910 26044 28747 29108 30260 32555 33820 34087 36385 57494 65110 68174 72770 114988 123709 130220 136348 143735 145540 170435 247418 287470 340870 494836 574940 579479 618545 647653 681740 1158958 1237090 1295306 2317916 2474180 2590612 2897395 3238265 5794790 6476530 11010101 11589580 12953060 22020202 44040404 55050505 110101010 220202020