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200302233120220 = 225711421308946283
BaseRepresentation
bin101101100010110001111111…
…011100111110110111011100
3222021012201002000120100100211
4231202301333130332313130
5202223222433134321340
61550001324154102204
760122234030411560
oct5542617734766734
9867181060510324
10200302233120220
1158905777800950
121a56bab871a964
13879c55b9473aa
1437669735856a0
1518254c280d5ea
hexb62c7f73eddc

200302233120220 has 96 divisors (see below), whose sum is σ = 525673338011136. Its totient is φ = 62283570451200.

The previous prime is 200302233120149. The next prime is 200302233120221. The reversal of 200302233120220 is 22021332203002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 200302233120191 and 200302233120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200302233120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153824802 + ... + 155121481.

It is an arithmetic number, because the mean of its divisors is an integer number (5475763937616).

Almost surely, 2200302233120220 is an apocalyptic number.

200302233120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200302233120220 is an abundant number, since it is smaller than the sum of its proper divisors (325371104890916).

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

200302233120220 is a wasteful number, since it uses less digits than its factorization.

200302233120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308946731 (or 308946729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 200302233120220 its reverse (22021332203002), we get a palindrome (222323565323222).

The spelling of 200302233120220 in words is "two hundred trillion, three hundred two billion, two hundred thirty-three million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 421 770 842 1540 1684 2105 2947 4210 4631 5894 8420 9262 11788 14735 18524 23155 29470 32417 46310 58940 64834 92620 129668 162085 324170 648340 308946283 617892566 1235785132 1544731415 2162623981 3089462830 3398409113 4325247962 6178925660 6796818226 8650495924 10813119905 13593636452 16992045565 21626239810 23788863791 33984091130 43252479620 47577727582 67968182260 95155455164 118944318955 130066385143 237888637910 260132770286 475777275820 520265540572 650331925715 910464696001 1300663851430 1430730236573 1820929392002 2601327702860 2861460473146 3641858784004 4552323480005 5722920946292 7153651182865 9104646960010 10015111656011 14307302365730 18209293920020 20030223312022 28614604731460 40060446624044 50075558280055 100151116560110 200302233120220