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200202211220 = 2251117509105167
BaseRepresentation
bin1011101001110011111…
…0110100111110010100
3201010202102210002010212
42322130332310332110
511240003231224340
6231545512104552
720315124501044
oct2723476647624
9633672702125
10200202211220
11779a5a24510
1232973395158
1315b5719ba9b
149992cbb724
15531b0b8a65
hex2e9cfb4f94

200202211220 has 96 divisors (see below), whose sum is σ = 486582888960. Its totient is φ = 68383139840.

The previous prime is 200202211219. The next prime is 200202211229. The reversal of 200202211220 is 22112202002.

It is a junction number, because it is equal to n+sod(n) for n = 200202211195 and 200202211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202211229) 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 31 ways as a sum of consecutive naturals, for example, 1851077 + ... + 1956243.

It is an arithmetic number, because the mean of its divisors is an integer number (5068571760).

Almost surely, 2200202211220 is an apocalyptic number.

200202211220 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 200202211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243291444480).

200202211220 is an abundant number, since it is smaller than the sum of its proper divisors (286380677740).

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

200202211220 is a wasteful number, since it uses less digits than its factorization.

200202211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105713 (or 105711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200202211220 its reverse (22112202002), we get a palindrome (222314413222).

The spelling of 200202211220 in words is "two hundred billion, two hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 509 748 935 1018 1870 2036 2545 3740 5090 5599 8653 10180 11198 17306 22396 27995 34612 43265 55990 86530 95183 105167 111980 173060 190366 210334 380732 420668 475915 525835 951830 1051670 1156837 1787839 1903660 2103340 2313674 3575678 4627348 5784185 7151356 8939195 11568370 17878390 19666229 23136740 35756780 39332458 53530003 78664916 98331145 107060006 196662290 214120012 267650015 393324580 535300030 588830033 910010051 1070600060 1177660066 1820020102 2355320132 2944150165 3640040204 4550050255 5888300330 9100100510 10010110561 11776600660 18200201020 20020221122 40040442244 50050552805 100101105610 200202211220