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19470016225 = 52112432592
BaseRepresentation
bin10010001000100000…
…001101111011100001
31212020220021022012001
4102020200031323201
5304333311004400
612535554004001
71256325256462
oct221040157341
955226238161
1019470016225
118291353400
123934576601
131ab395507a
14d29b66d69
1578e47da6a
hex48880dee1

19470016225 has 81 divisors (see below), whose sum is σ = 27636934899. Its totient is φ = 13596290400.

The previous prime is 19470016213. The next prime is 19470016261. The reversal of 19470016225 is 52261007491.

The square root of 19470016225 is 139535.

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., 7009205841 + 12460810384 = 83721^2 + 111628^2 .

It is not a de Polignac number, because 19470016225 - 25 = 19470016193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 330000246 + ... + 330000304.

Almost surely, 219470016225 is an apocalyptic number.

19470016225 is the 139535-th square number.

19470016225 is the 69768-th centered octagonal number.

It is an amenable number.

19470016225 is a deficient number, since it is larger than the sum of its proper divisors (8166918674).

19470016225 is an equidigital number, since it uses as much as digits as its factorization.

19470016225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

It can be divided in two parts, 194700 and 16225, that added together give a triangular number (210925 = T649).

The spelling of 19470016225 in words is "nineteen billion, four hundred seventy million, sixteen thousand, two hundred twenty-five".

Divisors: 1 5 11 25 43 55 59 121 215 275 295 473 605 649 1075 1475 1849 2365 2537 3025 3245 3481 5203 7139 9245 11825 12685 16225 17405 20339 26015 27907 35695 38291 46225 63425 87025 101695 109091 130075 139535 149683 178475 191455 223729 306977 421201 508475 545455 697675 748415 957275 1118645 1200001 1534885 1646513 2106005 2727275 3742075 5593225 6000005 6436369 7674425 8232565 10530025 13200011 18111643 30000025 32181845 41162825 66000055 70800059 90558215 160909225 330000275 354000295 452791075 778800649 1770001475 3894003245 19470016225