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200002032223002 = 23418157431187687
BaseRepresentation
bin101101011110011010011010…
…000101011100001100011010
3222020011000012111121200110000
4231132122122011130030122
5202203313130222114002
61545211355403033430
760061445543034102
oct5536323205341432
9866130174550400
10200002032223002
11587aa427169599
121a521897b0b876
13877a159308cb9
1437562158aa202
15181c7a26b961c
hexb5e69a15c31a

200002032223002 has 80 divisors (see below), whose sum is σ = 450707528823552. Its totient is φ = 66287416076640.

The previous prime is 200002032222983. The next prime is 200002032223027. The reversal of 200002032223002 is 200322230200002.

200002032223002 is a `hidden beast` number, since 20 + 0 + 0 + 0 + 20 + 322 + 2 + 300 + 2 = 666.

200002032223002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×2000020322230025 (a number of 73 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167802403 + ... + 168990089.

Almost surely, 2200002032223002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002032223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225353764411776).

200002032223002 is an abundant number, since it is smaller than the sum of its proper divisors (250705496600550).

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

200002032223002 is a wasteful number, since it uses less digits than its factorization.

200002032223002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193625 (or 1193616 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 200002032223002 its reverse (200322230200002), we get a palindrome (400324262423004).

The spelling of 200002032223002 in words is "two hundred trillion, two billion, thirty-two million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 362 543 1086 1629 3258 4887 5743 9774 11486 14661 17229 29322 34458 51687 103374 155061 310122 465183 930366 1039483 1187687 2078966 2375374 3118449 3563061 6236898 7126122 9355347 10689183 18710694 21378366 28066041 32067549 56132082 64135098 84198123 96202647 168396246 192405294 214971347 429942694 644914041 1289828082 1934742123 3869484246 5804226369 6820886441 11608452738 13641772882 17412679107 20462659323 34825358214 40925318646 61387977969 122775955938 184163933907 368327867814 552491801721 1104983603442 1234580445821 2469160891642 3703741337463 7407482674926 11111224012389 22222448024778 33333672037167 66667344074334 100001016111501 200002032223002