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200002102221222 = 232719179710427311
BaseRepresentation
bin101101011110011010011110…
…010000011101100110100110
3222020011000101101022221221200
4231132122132100131212212
5202203313301132034342
61545211410343223330
760061450353022410
oct5536323620354646
9866130341287850
10200002102221222
11587aa462729264
121a5218b7447b46
13877a16a976a72
143756220ccb9b0
15181c7a88e494c
hexb5e69e41d9a6

200002102221222 has 96 divisors (see below), whose sum is σ = 498460883042304. Its totient is φ = 56772949118400.

The previous prime is 200002102221221. The next prime is 200002102221227. The reversal of 200002102221222 is 222122201200002.

200002102221222 is a `hidden beast` number, since 200 + 0 + 0 + 21 + 0 + 2 + 221 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200002102221195 and 200002102221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200002102221221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13966947 + ... + 24394257.

It is an arithmetic number, because the mean of its divisors is an integer number (5192300865024).

Almost surely, 2200002102221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002102221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249230441521152).

200002102221222 is an abundant number, since it is smaller than the sum of its proper divisors (298458780821082).

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

200002102221222 is a wasteful number, since it uses less digits than its factorization.

200002102221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428314 (or 10428311 counting only the distinct ones).

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

Adding to 200002102221222 its reverse (222122201200002), we get a palindrome (422124303421224).

The spelling of 200002102221222 in words is "two hundred trillion, two billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 797 1146 1337 1594 1719 2391 2674 3438 4011 4782 5579 7173 8022 11158 12033 14346 16737 24066 33474 50211 100422 152227 304454 456681 913362 1065589 1370043 2131178 2740086 3196767 6393534 9590301 10427311 19180602 20854622 31281933 62563866 72991177 93845799 145982354 187691598 218973531 437947062 656920593 1313841186 1991616401 3983232802 5974849203 8310566867 11949698406 13941314807 16621133734 17924547609 24931700601 27882629614 35849095218 41823944421 49863401202 58173968069 74795101803 83647888842 116347936138 125471833263 149590203606 174521904207 250943666526 349043808414 523565712621 1047131425242 1587318271597 3174636543194 4761954814791 9523909629582 11111227901179 14285864444373 22222455802358 28571728888746 33333683703537 66667367407074 100001051110611 200002102221222