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225601530 = 235711127769
BaseRepresentation
bin11010111001001…
…10011111111010
3120201111202010020
431130212133322
5430223222110
634215231310
75406403260
oct1534463772
9521452106
10225601530
11106389850
1263678536
133797c23b
1421d68430
1514c14d70
hexd7267fa

225601530 has 128 divisors (see below), whose sum is σ = 681246720. Its totient is φ = 46448640.

The previous prime is 225601517. The next prime is 225601559. The reversal of 225601530 is 35106522.

It is a self number, because there is not a number n which added to its sum of digits gives 225601530.

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, 292986 + ... + 293754.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2225601530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225601530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340623360).

225601530 is an abundant number, since it is smaller than the sum of its proper divisors (455645190).

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

225601530 is a wasteful number, since it uses less digits than its factorization.

225601530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 225601530 is about 15020.0376164642. The cubic root of 225601530 is about 608.7617360602.

It can be divided in two parts, 22560 and 1530, that added together give a triangular number (24090 = T219).

The spelling of 225601530 in words is "two hundred twenty-five million, six hundred one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 127 154 165 210 231 254 330 381 385 462 635 762 769 770 889 1155 1270 1397 1538 1778 1905 2307 2310 2667 2794 3810 3845 4191 4445 4614 5334 5383 6985 7690 8382 8459 8890 9779 10766 11535 13335 13970 16149 16918 19558 20955 23070 25377 26670 26915 29337 32298 41910 42295 48895 50754 53830 58674 59213 80745 84590 97663 97790 118426 126885 146685 161490 177639 195326 253770 292989 293370 296065 355278 488315 585978 592130 683641 888195 976630 1074293 1367282 1464945 1776390 2050923 2148586 2929890 3222879 3418205 4101846 5371465 6445758 6836410 7520051 10254615 10742930 15040102 16114395 20509230 22560153 32228790 37600255 45120306 75200510 112800765 225601530