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225603354132 = 2232132385324571
BaseRepresentation
bin1101001000011100000…
…0011111111000010100
3210120022200111211120200
43102013000133320110
512144013424313012
6251350222500500
722204442604222
oct3220700377024
9716280454520
10225603354132
1187750237102
1237882134730
1318374856b70
14acc2645b12
155d060c83dc
hex348701fe14

225603354132 has 144 divisors (see below), whose sum is σ = 641621705088. Its totient is φ = 66317771520.

The previous prime is 225603354121. The next prime is 225603354257. The reversal of 225603354132 is 231453306522.

225603354132 is a `hidden beast` number, since 2 + 2 + 5 + 603 + 3 + 5 + 41 + 3 + 2 = 666.

225603354132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9169407 + ... + 9193977.

Almost surely, 2225603354132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225603354132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320810852544).

225603354132 is an abundant number, since it is smaller than the sum of its proper divisors (416018350956).

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

225603354132 is a wasteful number, since it uses less digits than its factorization.

225603354132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25470 (or 25465 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 225603354132 in words is "two hundred twenty-five billion, six hundred three million, three hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 853 897 1196 1706 1794 2559 2691 3412 3588 5118 5382 7677 10236 10764 11089 15354 19619 22178 24571 30708 33267 39238 44356 49142 58857 66534 73713 78476 98284 99801 117714 133068 147426 176571 199602 221139 235428 255047 294852 319423 353142 399204 442278 510094 565133 638846 706284 765141 884556 958269 1020188 1130266 1277692 1530282 1695399 1916538 2260532 2295423 2874807 3060564 3390798 3833076 4590846 5086197 5749614 6781596 7346729 9181692 10172394 11499228 14693458 20344788 20959063 22040187 29386916 41918126 44080374 62877189 66120561 83836252 88160748 125754378 132241122 188631567 251508756 264482244 272467819 377263134 482058449 544935638 754526268 817403457 964116898 1089871276 1446175347 1634806914 1928233796 2452210371 2892350694 3269613828 4338526041 4904420742 5784701388 6266759837 8677052082 9808841484 12533519674 17354104164 18800279511 25067039348 37600559022 56400838533 75201118044 112801677066 225603354132