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200220001020 = 2232513731172111
BaseRepresentation
bin1011101001111000001…
…0101100001011111100
3201010210200020220011100
42322132002230023330
511240022310013040
6231551345253100
720315431633254
oct2723602541374
9633720226140
10200220001020
1177a04a75226
1232979334190
1315b5aa8a1b0
1499953cc964
15531c92eb30
hex2e9e0ac2fc

200220001020 has 144 divisors (see below), whose sum is σ = 663012185472. Its totient is φ = 48609745920.

The previous prime is 200220000931. The next prime is 200220001021. The reversal of 200220001020 is 20100022002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200220000993 and 200220001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200220001021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415236 + ... + 756875.

It is an arithmetic number, because the mean of its divisors is an integer number (4604251288).

Almost surely, 2200220001020 is an apocalyptic number.

200220001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200220001020 is an abundant number, since it is smaller than the sum of its proper divisors (462792184452).

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

200220001020 is a wasteful number, since it uses less digits than its factorization.

200220001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172212 (or 1172207 counting only the distinct ones).

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

Adding to 200220001020 its reverse (20100022002), we get a palindrome (220320023022).

The spelling of 200220001020 in words is "two hundred billion, two hundred twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 73 78 90 117 130 146 156 180 195 219 234 260 292 365 390 438 468 585 657 730 780 876 949 1095 1170 1314 1460 1898 2190 2340 2628 2847 3285 3796 4380 4745 5694 6570 8541 9490 11388 13140 14235 17082 18980 28470 34164 42705 56940 85410 170820 1172111 2344222 3516333 4688444 5860555 7032666 10548999 11721110 14065332 15237443 17581665 21097998 23442220 30474886 35163330 42195996 45712329 52744995 60949772 70326660 76187215 85564103 91424658 105489990 137136987 152374430 171128206 182849316 210979980 228561645 256692309 274273974 304748860 342256412 427820515 457123290 513384618 548547948 685684935 770076927 855641030 914246580 1026769236 1112333339 1283461545 1371369870 1540153854 1711282060 2224666678 2566923090 2742739740 3080307708 3337000017 3850384635 4449333356 5133846180 5561666695 6674000034 7700769270 10011000051 11123333390 13348000068 15401538540 16685000085 20022000102 22246666780 33370000170 40044000204 50055000255 66740000340 100110000510 200220001020