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21222744444225 = 32523071212
BaseRepresentation
bin1001101001101010011100…
…01001001100110101000001
32210010212121112212002121100
410310311032021030311001
510240203140034203400
6113045332203045013
74320202251222642
oct464651611146501
983125545762540
1021222744444225
116842573a65775
12246913a210769
13bac3b0a2145c
1453528734d6c9
1526c0bb701100
hex134d4e24cd41

21222744444225 has 27 divisors (see below), whose sum is σ = 38012417152489. Its totient is φ = 11318760182400.

The previous prime is 21222744444203. The next prime is 21222744444233. The reversal of 21222744444225 is 52244444722212.

The square root of 21222744444225 is 4606815.

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

21222744444225 is a `hidden beast` number, since 2 + 122 + 27 + 4 + 44 + 442 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281625503921 + 19941118940304 = 1132089^2 + 4465548^2 .

It is not a de Polignac number, because 21222744444225 - 215 = 21222744411457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68948665 + ... + 69255785.

Almost surely, 221222744444225 is an apocalyptic number.

21222744444225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21222744444225 is the 4606815-th square number.

21222744444225 is the 2303408-th centered octagonal number.

It is an amenable number.

21222744444225 is a deficient number, since it is larger than the sum of its proper divisors (16789672708264).

21222744444225 is an frugal number, since it uses more digits than its factorization.

21222744444225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614258 (or 307129 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 45.

The spelling of 21222744444225 in words is "twenty-one trillion, two hundred twenty-two billion, seven hundred forty-four million, four hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 307121 921363 1535605 2764089 4606815 7678025 13820445 23034075 69102225 94323308641 282969925923 471616543205 848909777769 1414849629615 2358082716025 4244548888845 7074248148075 21222744444225