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200221202122002 = 23224268194583531
BaseRepresentation
bin101101100001100110100001…
…101000010000010100010010
3222020220221220211110010200200
4231201212201220100110102
5202220411010220401002
61545500203410400030
760113335016322345
oct5541464150202422
9866827824403620
10200221202122002
1158884375929626
121a558263590016
138794a17040c79
143762a8791045c
15182332da88b1c
hexb619a1a10512

200221202122002 has 24 divisors (see below), whose sum is σ = 433812878001360. Its totient is φ = 66740358645240.

The previous prime is 200221202121989. The next prime is 200221202122013.

200221202122002 is a `hidden beast` number, since 20 + 0 + 221 + 202 + 1 + 220 + 0 + 2 = 666.

200221202122002 is nontrivially palindromic in base 10.

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 11 ways as a sum of consecutive naturals, for example, 41390977 + ... + 45974507.

It is an arithmetic number, because the mean of its divisors is an integer number (18075536583390).

Almost surely, 2200221202122002 is an apocalyptic number.

200221202122002 is an abundant number, since it is smaller than the sum of its proper divisors (233591675879358).

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

200221202122002 is a wasteful number, since it uses less digits than its factorization.

200221202122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010358 (or 7010355 counting only the distinct ones).

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

It can be divided in two parts, 20022120 and 2122002, that added together give a palindrome (22144122).

The spelling of 200221202122002 in words is "two hundred trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 2426819 4583531 4853638 7280457 9167062 13750593 14560914 21841371 27501186 41251779 43682742 82503558 11123400117889 22246800235778 33370200353667 66740400707334 100110601061001 200221202122002