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20000202200 = 2352119419661
BaseRepresentation
bin10010101000000110…
…101101110111011000
31220121211220112121122
4102220012231313120
5311430022432300
613104333424412
71305423625256
oct225006556730
956554815548
1020000202200
118533657a30
123a6203b108
131b69748994
14d7a3395d6
157c0caac85
hex4a81addd8

20000202200 has 96 divisors (see below), whose sum is σ = 50786950320. Its totient is φ = 7264320000.

The previous prime is 20000202121. The next prime is 20000202281. The reversal of 20000202200 is 220200002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2065370 + ... + 2075030.

Almost surely, 220000202200 is an apocalyptic number.

20000202200 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 20000202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25393475160).

20000202200 is an abundant number, since it is smaller than the sum of its proper divisors (30786748120).

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

20000202200 is a wasteful number, since it uses less digits than its factorization.

20000202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20000202200 its reverse (220200002), we get a palindrome (20220402202).

The spelling of 20000202200 in words is "twenty billion, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 941 1100 1882 2200 3764 4705 7528 9410 9661 10351 18820 19322 20702 23525 37640 38644 41404 47050 48305 51755 77288 82808 94100 96610 103510 106271 188200 193220 207020 212542 241525 258775 386440 414040 425084 483050 517550 531355 850168 966100 1035100 1062710 1932200 2070200 2125420 2656775 4250840 5313550 9091001 10627100 18182002 21254200 36364004 45455005 72728008 90910010 100001011 181820020 200002022 227275025 363640040 400004044 454550050 500005055 800008088 909100100 1000010110 1818200200 2000020220 2500025275 4000040440 5000050550 10000101100 20000202200