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200221243002 = 232111923775707
BaseRepresentation
bin1011101001111000011…
…1011011011001111010
3201010210202120222211200
42322132013123121322
511240023114234002
6231551432035030
720315445325224
oct2723607333172
9633722528750
10200221243002
1177a05743360
1232979832a76
1315b5b1035b1
149995633414
15531cac7b1c
hex2e9e1db67a

200221243002 has 144 divisors (see below), whose sum is σ = 512974998432. Its totient is φ = 55925536320.

The previous prime is 200221242971. The next prime is 200221243007. The reversal of 200221243002 is 200342122002.

200221243002 is a `hidden beast` number, since 20 + 0 + 2 + 212 + 430 + 0 + 2 = 666.

It is a super-2 number, since 2×2002212430022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200221243007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2606833 + ... + 2682539.

It is an arithmetic number, because the mean of its divisors is an integer number (3562326378).

Almost surely, 2200221243002 is an apocalyptic number.

200221243002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200221243002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256487499216).

200221243002 is an abundant number, since it is smaller than the sum of its proper divisors (312753755430).

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

200221243002 is a wasteful number, since it uses less digits than its factorization.

200221243002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75801 (or 75779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200221243002 its reverse (200342122002), we get a palindrome (400563365004).

The spelling of 200221243002 in words is "two hundred billion, two hundred twenty-one million, two hundred forty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 19 22 33 37 38 57 66 74 99 111 114 171 198 209 222 333 342 361 407 418 627 666 703 722 814 1083 1221 1254 1406 1881 2109 2166 2442 3249 3663 3762 3971 4218 6327 6498 7326 7733 7942 11913 12654 13357 15466 23199 23826 26714 35739 40071 46398 69597 71478 75707 80142 120213 139194 146927 151414 227121 240426 293854 440781 454242 681363 832777 881562 1322343 1362726 1438433 1665554 2498331 2644686 2801159 2876866 4315299 4996662 5602318 7494993 8403477 8630598 12945897 14989986 15822763 16806954 25210431 25891794 27330227 30812749 31645526 47468289 50420862 53222021 54660454 61625498 81990681 92438247 94936578 106444042 142404867 159666063 163981362 184876494 245972043 277314741 284809734 300632497 319332126 478998189 491944086 554629482 585442231 601264994 901897491 957996378 1011218399 1170884462 1756326693 1803794982 2022436798 2705692473 3033655197 3512653386 5268980079 5411384946 6067310394 9100965591 10537960158 11123402389 18201931182 22246804778 33370207167 66740414334 100110621501 200221243002