Search a number
-
+
322425230625 = 32546721132
BaseRepresentation
bin1001011000100100000…
…10101001010100100001
31010211020100221202222100
410230102002221110201
520240311324340000
6404041535401013
732202666145431
oct4542202512441
91124210852870
10322425230625
11114815700a53
12525a3683169
1324534ab7344
14118695742c1
1585c12d6a00
hex4b120a9521

322425230625 has 135 divisors (see below), whose sum is σ = 596060608143. Its totient is φ = 167894496000.

The previous prime is 322425230623. The next prime is 322425230681. The reversal of 322425230625 is 526032524223.

The square root of 322425230625 is 567825.

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

322425230625 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 2 + 5 + 23 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 315162100449 + 7263130176 = 561393^2 + 85224^2 .

It is not a de Polignac number, because 322425230625 - 21 = 322425230623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 322425230625.

It is not an unprimeable number, because it can be changed into a prime (322425230623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2853320569 + ... + 2853320681.

Almost surely, 2322425230625 is an apocalyptic number.

322425230625 is the 567825-th square number.

322425230625 is the 283913-rd centered octagonal number.

It is an amenable number.

322425230625 is a deficient number, since it is larger than the sum of its proper divisors (273635377518).

322425230625 is an frugal number, since it uses more digits than its factorization.

322425230625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Multiplying 322425230625 by its sum of digits (36), we get a square (11607308302500 = 34069502).

Adding to 322425230625 its reverse (526032524223), we get a palindrome (848457754848).

The spelling of 322425230625 in words is "three hundred twenty-two billion, four hundred twenty-five million, two hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 113 125 201 225 335 339 375 565 603 625 1005 1017 1125 1675 1695 1875 2825 3015 4489 5025 5085 5625 7571 8375 8475 12769 13467 14125 15075 22445 22713 25125 25425 37855 38307 40401 41875 42375 63845 67335 68139 70625 75375 112225 113565 114921 125625 127125 189275 191535 202005 211875 319225 336675 340695 376875 507257 561125 567825 574605 635625 855523 946375 957675 1010025 1521771 1596125 1683375 1703475 2536285 2566569 2805625 2839125 2873025 4277615 4565313 4731875 4788375 5050125 7608855 7699707 7980625 8416875 8517375 12681425 12832845 14195625 14365125 21388075 22826565 23941875 25250625 38044275 38498535 42586875 57320041 63407125 64164225 71825625 106940375 114132825 171960123 190221375 192492675 286600205 317035625 320821125 515880369 534701875 570664125 859800615 951106875 962463375 1433001025 1604105625 2579401845 2853320625 4299003075 4812316875 7165005125 12897009225 21495015375 35825025625 64485046125 107475076875 322425230625