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225556451112 = 2331731107166667
BaseRepresentation
bin1101001000010000110…
…1100100111100101000
3210120012102020220201210
43102010031210330220
512143414422413422
6251341425313120
722203333125556
oct3220415447450
9716172226653
10225556451112
1187726811183
123786a4957a0
1318367c142b5
14acba316bd6
155d01e1110c
hex3484364f28

225556451112 has 128 divisors (see below), whose sum is σ = 622084976640. Its totient is φ = 67839728640.

The previous prime is 225556451101. The next prime is 225556451119. The reversal of 225556451112 is 211154655522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (225556451119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270003 + ... + 1436669.

It is an arithmetic number, because the mean of its divisors is an integer number (4860038880).

Almost surely, 2225556451112 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 225556451112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311042488320).

225556451112 is an abundant number, since it is smaller than the sum of its proper divisors (396528525528).

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

225556451112 is a wasteful number, since it uses less digits than its factorization.

225556451112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166831 (or 166827 counting only the distinct ones).

The product of its digits is 120000, while the sum is 39.

The spelling of 225556451112 in words is "two hundred twenty-five billion, five hundred fifty-six million, four hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 107 124 136 186 204 214 248 321 372 408 428 527 642 744 856 1054 1284 1581 1819 2108 2568 3162 3317 3638 4216 5457 6324 6634 7276 9951 10914 12648 13268 14552 19902 21828 26536 39804 43656 56389 79608 112778 166667 169167 225556 333334 338334 451112 500001 666668 676668 1000002 1333336 1353336 2000004 2833339 4000008 5166677 5666678 8500017 10333354 11333356 15500031 17000034 17833369 20666708 22666712 31000062 34000068 35666738 41333416 53500107 62000124 68000136 71333476 87833509 107000214 124000248 142666952 175667018 214000428 263500527 303167273 351334036 428000856 527001054 552834439 606334546 702668072 909501819 1054002108 1105668878 1212669092 1658503317 1819003638 2108004216 2211337756 2425338184 3317006634 3638007276 4422675512 6634013268 7276014552 9398185463 13268026536 18796370926 28194556389 37592741852 56389112778 75185483704 112778225556 225556451112