Search a number
-
+
22454465625 = 3455432063
BaseRepresentation
bin10100111010011000…
…111111010001011001
32010221220001001010000
4110322120333101121
5331441320400000
614152045043213
71423304544234
oct247230772131
963856031100
1022454465625
119582a62409
124427b56509
13216b053467
14113028241b
158b64a0000
hex53a63f459

22454465625 has 120 divisors (see below), whose sum is σ = 42922002816. Its totient is φ = 11691540000.

The previous prime is 22454465597. The next prime is 22454465629. The reversal of 22454465625 is 52656445422.

22454465625 is a `hidden beast` number, since 2 + 2 + 45 + 4 + 46 + 562 + 5 = 666.

It is not a de Polignac number, because 22454465625 - 27 = 22454465497 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22454465629) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 10883344 + ... + 10885406.

Almost surely, 222454465625 is an apocalyptic number.

22454465625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22454465625 is a deficient number, since it is larger than the sum of its proper divisors (20467537191).

22454465625 is an frugal number, since it uses more digits than its factorization.

22454465625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2114 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 22454465625 in words is "twenty-two billion, four hundred fifty-four million, four hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 125 129 135 215 225 375 387 405 625 645 675 1075 1125 1161 1875 1935 2025 2063 3125 3225 3375 3483 5375 5625 5805 6189 9375 9675 10125 10315 16125 16875 17415 18567 26875 28125 29025 30945 48375 50625 51575 55701 80625 84375 87075 88709 92835 134375 145125 154725 167103 241875 253125 257875 266127 278505 403125 435375 443545 464175 725625 773625 798381 835515 1209375 1289375 1330635 1392525 2176875 2217725 2320875 2395143 3628125 3868125 3991905 4177575 6446875 6653175 6962625 7185429 10884375 11088625 11604375 11975715 19340625 19959525 20887875 33265875 34813125 35927145 55443125 58021875 59878575 99797625 104439375 166329375 174065625 179635725 277215625 299392875 498988125 522196875 831646875 898178625 1496964375 2494940625 4490893125 7484821875 22454465625