Search a number
-
+
225607240650 = 235211223952009
BaseRepresentation
bin1101001000011100111…
…1010100101111001010
3210120022221211021212210
43102013033110233022
512144020423200100
6251350442045550
722204520622201
oct3220717245712
9716287737783
10225607240650
1187752451100
12378834a98b6
13183755b7b8c
14acc2d78238
155d065e4c50
hex34873d4bca

225607240650 has 144 divisors (see below), whose sum is σ = 617579222400. Its totient is φ = 54462777600.

The previous prime is 225607240637. The next prime is 225607240693. The reversal of 225607240650 is 56042706522.

It is a junction number, because it is equal to n+sod(n) for n = 225607240599 and 225607240608.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4311846 + ... + 4363854.

It is an arithmetic number, because the mean of its divisors is an integer number (4288744600).

Almost surely, 2225607240650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225607240650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308789611200).

225607240650 is an abundant number, since it is smaller than the sum of its proper divisors (391971981750).

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

225607240650 is a wasteful number, since it uses less digits than its factorization.

225607240650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52285 (or 52269 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 225607240650 in words is "two hundred twenty-five billion, six hundred seven million, two hundred forty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 239 242 275 330 363 478 550 605 717 726 825 1195 1210 1434 1650 1815 2390 2629 3025 3585 3630 5258 5975 6050 7170 7887 9075 11950 13145 15774 17925 18150 26290 28919 35850 39435 52009 57838 65725 78870 86757 104018 131450 144595 156027 173514 197175 260045 289190 312054 394350 433785 520090 572099 722975 780135 867570 1144198 1300225 1445950 1560270 1716297 2168925 2600450 2860495 3432594 3900675 4337850 5720990 6293089 7801350 8581485 12430151 12586178 14302475 17162970 18879267 24860302 28604950 31465445 37290453 37758534 42907425 62150755 62930890 74580906 85814850 94396335 124301510 136731661 157327225 186452265 188792670 273463322 310753775 314654450 372904530 410194983 471981675 621507550 683658305 820389966 932261325 943963350 1367316610 1504048271 1864522650 2050974915 3008096542 3418291525 4101949830 4512144813 6836583050 7520241355 9024289626 10254874575 15040482710 20509749150 22560724065 37601206775 45121448130 75202413550 112803620325 225607240650