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200212221002202 = 23425731315363781
BaseRepresentation
bin101101100001011110001010…
…010100000000000111011010
3222020220002201220212222110000
4231201132022110000013122
5202220234112034032302
61545452120302033430
760112566323134533
oct5541361224000732
9866802656788400
10200212221002202
1158880587263372
121a556577878876
138793c154714b6
143762474c1168a
151822ea538b31c
hexb6178a5001da

200212221002202 has 80 divisors (see below), whose sum is σ = 451808206780392. Its totient is φ = 66265335152640.

The previous prime is 200212221002197. The next prime is 200212221002243. The reversal of 200212221002202 is 202200122212002.

200212221002202 is a `hidden beast` number, since 20 + 0 + 212 + 2 + 210 + 0 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 189637438933881 + 10574782068321 = 13770891^2 + 3251889^2 .

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, 5349552 + ... + 20713332.

Almost surely, 2200212221002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200212221002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225904103390196).

200212221002202 is an abundant number, since it is smaller than the sum of its proper divisors (251595985778190).

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

200212221002202 is a wasteful number, since it uses less digits than its factorization.

200212221002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364365 (or 15364356 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200212221002202 its reverse (202200122212002), we get a palindrome (402412343214204).

The spelling of 200212221002202 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty-one million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 257 313 514 626 771 939 1542 1878 2313 2817 4626 5634 6939 8451 13878 16902 20817 25353 41634 50706 80441 160882 241323 482646 723969 1447938 2171907 4343814 6515721 13031442 15363781 30727562 46091343 92182686 138274029 276548058 414822087 829644174 1244466261 2488932522 3948491717 4808863453 7896983434 9617726906 11845475151 14426590359 23690950302 28853180718 35536425453 43279771077 71072850906 86559542154 106609276359 129839313231 213218552718 259678626462 319827829077 389517939693 639655658154 779035879386 1235877907421 2471755814842 3707633722263 7415267444526 11122901166789 22245802333578 33368703500367 66737407000734 100106110501101 200212221002202