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2200010220 = 223551094153
BaseRepresentation
bin1000001100100001…
…0111110111101100
312200022201002200000
42003020113313230
514001200311340
61002145504300
7105342530652
oct20310276754
95608632600
102200010220
11a29937271
12514942090
13290a361c5
1416c280dd2
15cd21ed30
hex83217dec

2200010220 has 144 divisors (see below), whose sum is σ = 6985698720. Its totient is φ = 581147136.

The previous prime is 2200010167. The next prime is 2200010251. The reversal of 2200010220 is 220100022.

2200010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527664 + ... + 531816.

Almost surely, 22200010220 is an apocalyptic number.

2200010220 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 2200010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492849360).

2200010220 is an abundant number, since it is smaller than the sum of its proper divisors (4785688500).

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

2200010220 is a wasteful number, since it uses less digits than its factorization.

2200010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2200010220 is about 46904.2665436738. The cubic root of 2200010220 is about 1300.5934607944.

Adding to 2200010220 its reverse (220100022), we get a palindrome (2420110242).

The spelling of 2200010220 in words is "two billion, two hundred million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 243 270 324 327 405 436 486 540 545 654 810 972 981 1090 1215 1308 1620 1635 1962 2180 2430 2943 3270 3924 4153 4860 4905 5886 6540 8306 8829 9810 11772 12459 14715 16612 17658 19620 20765 24918 26487 29430 35316 37377 41530 44145 49836 52974 58860 62295 74754 83060 88290 105948 112131 124590 132435 149508 176580 186885 224262 249180 264870 336393 373770 448524 452677 529740 560655 672786 747540 905354 1009179 1121310 1345572 1358031 1681965 1810708 2018358 2242620 2263385 2716062 3363930 4036716 4074093 4526770 5045895 5432124 6727860 6790155 8148186 9053540 10091790 12222279 13580310 16296372 20183580 20370465 24444558 27160620 36666837 40740930 48889116 61111395 73333674 81481860 110000511 122222790 146667348 183334185 220001022 244445580 366668370 440002044 550002555 733336740 1100005110 2200010220