Search a number
-
+
2266206372 = 2232317349569
BaseRepresentation
bin1000011100010011…
…1001000010100100
312211221021012201100
42013010321002210
514120122100442
61012512400100
7110105302443
oct20704710244
95757235640
102266206372
11a6323a431
12532b46030
132a1672521
14176d92d5a
15d3e4884c
hex871390a4

2266206372 has 72 divisors (see below), whose sum is σ = 5773131000. Its totient is φ = 749541888.

The previous prime is 2266206367. The next prime is 2266206391. The reversal of 2266206372 is 2736026622.

2266206372 is a `hidden beast` number, since 2 + 26 + 620 + 6 + 3 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 2258720676 = 2736^2 + 47526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982504 + ... + 3983072.

It is an arithmetic number, because the mean of its divisors is an integer number (80182375).

Almost surely, 22266206372 is an apocalyptic number.

It is an amenable number.

2266206372 is an abundant number, since it is smaller than the sum of its proper divisors (3506924628).

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

2266206372 is a wasteful number, since it uses less digits than its factorization.

2266206372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2266206372 is about 47604.6885506039. The cubic root of 2266206372 is about 1313.5093001757.

The spelling of 2266206372 in words is "two billion, two hundred sixty-six million, two hundred six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 317 349 569 634 698 951 1047 1138 1268 1396 1707 1902 2094 2276 2853 3141 3414 3804 4188 5121 5706 6282 6828 10242 11412 12564 20484 110633 180373 198581 221266 331899 360746 397162 442532 541119 595743 663798 721492 794324 995697 1082238 1191486 1327596 1623357 1787229 1991394 2164476 2382972 3246714 3574458 3982788 6493428 7148916 62950177 125900354 188850531 251800708 377701062 566551593 755402124 1133103186 2266206372