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225471540 = 223572531447
BaseRepresentation
bin11010111000001…
…10110000110100
3120201021010210210
431130012300310
5430210042130
634212345420
75405322300
oct1534066064
9521233723
10225471540
11106300118
1263615270
1337935018
1421d32d00
1514bdb5b0
hexd706c34

225471540 has 144 divisors (see below), whose sum is σ = 748766592. Its totient is φ = 50529024.

The previous prime is 225471517. The next prime is 225471551. The reversal of 225471540 is 45174522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225471498 and 225471507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155097 + ... + 156543.

It is an arithmetic number, because the mean of its divisors is an integer number (5199768).

Almost surely, 2225471540 is an apocalyptic number.

225471540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225471540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374383296).

225471540 is an abundant number, since it is smaller than the sum of its proper divisors (523295052).

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

225471540 is a wasteful number, since it uses less digits than its factorization.

225471540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 225471540 is about 15015.7097734340. The cubic root of 225471540 is about 608.6447921998.

The spelling of 225471540 in words is "two hundred twenty-five million, four hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 53 60 70 84 98 105 106 140 147 159 196 210 212 245 265 294 318 371 420 490 530 588 636 735 742 795 980 1060 1113 1447 1470 1484 1590 1855 2226 2597 2894 2940 3180 3710 4341 4452 5194 5565 5788 7235 7420 7791 8682 10129 10388 11130 12985 14470 15582 17364 20258 21705 22260 25970 28940 30387 31164 38955 40516 43410 50645 51940 60774 70903 76691 77910 86820 101290 121548 141806 151935 153382 155820 202580 212709 230073 283612 303870 306764 354515 383455 425418 460146 536837 607740 709030 766910 850836 920292 1063545 1073674 1150365 1418060 1533820 1610511 2127090 2147348 2300730 2684185 3221022 3757859 4254180 4601460 5368370 6442044 7515718 8052555 10736740 11273577 15031436 16105110 18789295 22547154 32210220 37578590 45094308 56367885 75157180 112735770 225471540