Search a number
-
+
225607540470 = 235136143122003
BaseRepresentation
bin1101001000011101000…
…0011101111011110110
3210120022222101112011020
43102013100131323312
512144021012243340
6251350452322010
722204523311254
oct3220720357366
9716288345136
10225607540470
1187752636394
1237883613306
13183756914a0
14acc30155d4
155d066539d0
hex348741def6

225607540470 has 128 divisors (see below), whose sum is σ = 594069977088. Its totient is φ = 54494553600.

The previous prime is 225607540427. The next prime is 225607540493. The reversal of 225607540470 is 74045706522.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10242489 + ... + 10264491.

It is an arithmetic number, because the mean of its divisors is an integer number (4641171696).

Almost surely, 2225607540470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225607540470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297034988544).

225607540470 is an abundant number, since it is smaller than the sum of its proper divisors (368462436618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225607540470 is a wasteful number, since it uses less digits than its factorization.

225607540470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22518.

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 225607540470 in words is "two hundred twenty-five billion, six hundred seven million, five hundred forty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 431 610 793 862 915 1293 1586 1830 2155 2379 2586 3965 4310 4758 5603 6465 7930 11206 11895 12930 16809 22003 23790 26291 28015 33618 44006 52582 56030 66009 78873 84045 110015 131455 132018 157746 168090 220030 262910 286039 330045 341783 394365 572078 660090 683566 788730 858117 1025349 1342183 1430195 1708915 1716234 2050698 2684366 2860390 3417830 4026549 4290585 5126745 6710915 8053098 8581170 9483293 10253490 13421830 17448379 18966586 20132745 28449879 34896758 40265490 47416465 52345137 56899758 87241895 94832930 104690274 123282809 142249395 174483790 246565618 261725685 284498790 369848427 523451370 578480873 616414045 739696854 1156961746 1232828090 1735442619 1849242135 2892404365 3470885238 3698484270 5784808730 7520251349 8677213095 15040502698 17354426190 22560754047 37601256745 45121508094 75202513490 112803770235 225607540470