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22202972077 = 112133174
BaseRepresentation
bin10100101011011001…
…100111011110101101
32010022100210211211011
4110223121213132231
5330432430101302
614111102425221
71414132102006
oct245331473655
963270724734
1022202972077
119463aa9600
124377892211
13212ac0a000
141108ad81ad
1589e3735d7
hex52b6677ad

22202972077 has 60 divisors (see below), whose sum is σ = 28090076140. Its totient is φ = 17535872640.

The previous prime is 22202972039. The next prime is 22202972087. The reversal of 22202972077 is 77027920222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 18872989641 + 3329982436 = 137379^2 + 57706^2 .

It is not a de Polignac number, because 22202972077 - 215 = 22202939309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202972087) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1306057173 + ... + 1306057189.

Almost surely, 222202972077 is an apocalyptic number.

It is an amenable number.

22202972077 is a deficient number, since it is larger than the sum of its proper divisors (5887104063).

22202972077 is an frugal number, since it uses more digits than its factorization.

22202972077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 22202972077 in words is "twenty-two billion, two hundred two million, nine hundred seventy-two thousand, seventy-seven".

Divisors: 1 11 13 17 121 143 169 187 221 289 1573 1859 2057 2197 2431 2873 3179 3757 4913 20449 24167 26741 31603 34969 37349 41327 48841 54043 63869 83521 265837 347633 410839 454597 537251 594473 634933 702559 830297 918731 1085773 4519229 5909761 6984263 7728149 9133267 10106041 10793861 11943503 14115049 76826893 100465937 118732471 131378533 155265539 183495637 1306057181 1707920929 2018452007 22202972077