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225333421452 = 22344726875507
BaseRepresentation
bin1101000111011011101…
…0110010010110001100
3210112121212120211120000
43101312322302112030
512142440323441302
6251303341124300
722164654323406
oct3216672622614
9715555524500
10225333421452
1187621929747
1237807859690
1318330955899
14ac9885bb76
155cdc55831c
hex3476eb258c

225333421452 has 120 divisors (see below), whose sum is σ = 601932570624. Its totient is φ = 73472328288.

The previous prime is 225333421451. The next prime is 225333421471. The reversal of 225333421452 is 254124333522.

225333421452 is a `hidden beast` number, since 2 + 253 + 3 + 342 + 14 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (225333421451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40914883 + ... + 40920389.

Almost surely, 2225333421452 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 225333421452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300966285312).

225333421452 is an abundant number, since it is smaller than the sum of its proper divisors (376599149172).

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

225333421452 is a wasteful number, since it uses less digits than its factorization.

225333421452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8246 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 225333421452 its reverse (254124333522), we get a palindrome (479457754974).

The spelling of 225333421452 in words is "two hundred twenty-five billion, three hundred thirty-three million, four hundred twenty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 2687 3807 5076 5374 5507 7614 8061 10748 11014 15228 16122 16521 22028 24183 32244 33042 48366 49563 66084 72549 96732 99126 126289 145098 148689 198252 217647 252578 258829 290196 297378 378867 435294 446067 505156 517658 594756 757734 776487 870588 892134 1035316 1136601 1515468 1552974 1784268 2273202 2329461 3105948 3409803 4546404 4658922 6819606 6988383 9317844 10229409 13639212 13976766 14797309 20458818 20965149 27953532 29594618 40917636 41930298 44391927 59189236 83860596 88783854 133175781 177567708 266351562 399527343 532703124 695473523 799054686 1198582029 1390947046 1598109372 2086420569 2397164058 2781894092 4172841138 4794328116 6259261707 8345682276 12518523414 18777785121 25037046828 37555570242 56333355363 75111140484 112666710726 225333421452