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42022220202 = 2341779193147
BaseRepresentation
bin100111001000101110…
…000011000110101010
311000110121012222010000
4213020232003012222
51142030142021302
631145454003430
73015230656344
oct471056030652
9130417188100
1042022220202
11169044a2006
1281891a6576
133c69009771
142068dac294
15115e2d831c
hex9c8b831aa

42022220202 has 80 divisors (see below), whose sum is σ = 100962322560. Its totient is φ = 13016495232.

The previous prime is 42022220189. The next prime is 42022220231. The reversal of 42022220202 is 20202222024.

It is a happy number.

42022220202 is a `hidden beast` number, since 420 + 2 + 2 + 220 + 20 + 2 = 666.

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, 120993 + ... + 314139.

It is an arithmetic number, because the mean of its divisors is an integer number (1262029032).

Almost surely, 242022220202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42022220202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50481161280).

42022220202 is an abundant number, since it is smaller than the sum of its proper divisors (58940102358).

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

42022220202 is a wasteful number, since it uses less digits than its factorization.

42022220202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193257 (or 193248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42022220202 its reverse (20202222024), we get a palindrome (62224442226).

The spelling of 42022220202 in words is "forty-two billion, twenty-two million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 81 102 153 158 162 237 306 459 474 711 918 1343 1377 1422 2133 2686 2754 4029 4266 6399 8058 12087 12798 24174 36261 72522 108783 193147 217566 386294 579441 1158882 1738323 3283499 3476646 5214969 6566998 9850497 10429938 15258613 15644907 19700994 29551491 30517226 31289814 45775839 59102982 88654473 91551678 137327517 177308946 259396421 265963419 274655034 411982551 518792842 531926838 778189263 823965102 1235947653 1556378526 2334567789 2471895306 4669135578 7003703367 14007406734 21011110101 42022220202