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200100002220 = 223255344414723
BaseRepresentation
bin1011101001011011100…
…0111011100110101100
3201010111022110022202100
42322112320323212230
511234301100032340
6231531421255100
720312443645446
oct2722670734654
9633438408670
10200100002220
1177953264368
1232945104490
1315b3bc639a1
1499834b3496
155312129830
hex2e96e3b9ac

200100002220 has 144 divisors (see below), whose sum is σ = 618692491872. Its totient is φ = 52330337280.

The previous prime is 200100002209. The next prime is 200100002287. The reversal of 200100002220 is 22200001002.

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, 42364779 + ... + 42369501.

It is an arithmetic number, because the mean of its divisors is an integer number (4296475638).

Almost surely, 2200100002220 is an apocalyptic number.

200100002220 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 200100002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309346245936).

200100002220 is an abundant number, since it is smaller than the sum of its proper divisors (418592489652).

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

200100002220 is a wasteful number, since it uses less digits than its factorization.

200100002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9227 counting only the distinct ones).

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

Adding to 200100002220 its reverse (22200001002), we get a palindrome (222300003222).

The spelling of 200100002220 in words is "two hundred billion, one hundred million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4441 4723 4770 8882 9446 9540 13323 14169 17764 18892 22205 23615 26646 28338 39969 42507 44410 47230 53292 56676 66615 70845 79938 85014 88820 94460 133230 141690 159876 170028 199845 212535 235373 250319 266460 283380 399690 425070 470746 500638 706119 750957 799380 850140 941492 1001276 1176865 1251595 1412238 1501914 2118357 2252871 2353730 2503190 2824476 3003828 3530595 3754785 4236714 4505742 4707460 5006380 7061190 7509570 8473428 9011484 10591785 11264355 14122380 15019140 20974843 21183570 22528710 41949686 42367140 45057420 62924529 83899372 104874215 125849058 188773587 209748430 251698116 314622645 377547174 419496860 629245290 755094348 943867935 1111666679 1258490580 1887735870 2223333358 3335000037 3775471740 4446666716 5558333395 6670000074 10005000111 11116666790 13340000148 16675000185 20010000222 22233333580 33350000370 40020000444 50025000555 66700000740 100050001110 200100002220