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22200311133 = 32711133766601
BaseRepresentation
bin10100101011001111…
…011101110101011101
32010022011210122200200
4110223033131311131
5330431234424013
614110525414113
71414100350110
oct245317356535
963264718620
1022200311133
119462551380
124376a0a339
13212a4b7aa0
141108604577
1589dee9e73
hex52b3ddd5d

22200311133 has 96 divisors (see below), whose sum is σ = 44219465472. Its totient is φ = 10357632000.

The previous prime is 22200311131. The next prime is 22200311149. The reversal of 22200311133 is 33111300222.

22200311133 is a `hidden beast` number, since 2 + 220 + 0 + 311 + 133 = 666.

It is not a de Polignac number, because 22200311133 - 21 = 22200311131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200311131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300033 + ... + 366633.

It is an arithmetic number, because the mean of its divisors is an integer number (460619432).

Almost surely, 222200311133 is an apocalyptic number.

It is an amenable number.

22200311133 is a deficient number, since it is larger than the sum of its proper divisors (22019154339).

22200311133 is a wasteful number, since it uses less digits than its factorization.

22200311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66675 (or 66672 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22200311133 its reverse (33111300222), we get a palindrome (55311611355).

It can be divided in two parts, 22200 and 311133, that added together give a palindrome (333333).

The spelling of 22200311133 in words is "twenty-two billion, two hundred million, three hundred eleven thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 66601 111111 199803 333333 466207 599409 732611 865813 1398621 2197833 2464237 2597439 4195863 5128277 6060691 6593499 7392711 7792317 9523943 15384831 17249659 18182073 22178133 27106607 28571829 32035081 46154493 51748977 54546219 66667601 81319821 85715487 96105243 155246931 189746249 200002803 224245567 243959463 288315729 352385891 569238747 600008409 672736701 1057157673 1707716241 2018210103 2466701237 3171473019 7400103711 22200311133