Search a number
-
+
2210294730436 = 2213221122712
BaseRepresentation
bin100000001010011111110…
…101010000111011000100
321211022011020111000201221
4200022133311100323010
5242203140422333221
64411221222530124
7315455110135312
oct40123765207304
97738136430657
102210294730436
11782420831371
122b8453296944
13130578645100
1478d9bcd50b2
153c76512c541
hex2029fd50ec4

2210294730436 has 81 divisors (see below), whose sum is σ = 4223974048749. Its totient is φ = 1011554762400.

The previous prime is 2210294730407. The next prime is 2210294730541. The reversal of 2210294730436 is 6340374920122.

The square root of 2210294730436 is 1486706.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 326966676100 + 1883328054336 = 571810^2 + 1372344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2210294730392 and 2210294730401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8156068981 + ... + 8156069251.

Almost surely, 22210294730436 is an apocalyptic number.

2210294730436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2210294730436 is the 1486706-th square number.

It is an amenable number.

2210294730436 is a deficient number, since it is larger than the sum of its proper divisors (2013679318313).

2210294730436 is an equidigital number, since it uses as much as digits as its factorization.

2210294730436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 2210294730436 in words is "two trillion, two hundred ten billion, two hundred ninety-four million, seven hundred thirty thousand, four hundred thirty-six".

Divisors: 1 2 4 13 26 52 169 211 271 338 422 542 676 844 1084 2743 3523 5486 7046 10972 14092 35659 44521 45799 57181 71318 73441 89042 91598 114362 142636 146882 178084 183196 228724 293764 578773 743353 954733 1157546 1486706 1909466 2315092 2973412 3818932 7524049 9663589 12065191 12411529 15048098 15496051 19327178 24130382 24823058 30096196 30992102 38654356 48260764 49646116 61984204 156847483 201448663 313694966 402897326 627389932 805794652 2039017279 2618832619 3269666761 4078034558 5237665238 6539333522 8156069116 10475330476 13078667044 42505667893 85011335786 170022671572 552573682609 1105147365218 2210294730436