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226441386108 = 2235773455899
BaseRepresentation
bin1101001011100011110…
…1010101100001111100
3210122111002102021100000
43102320331111201330
512202222443323413
6252005320434300
722234300011150
oct3227075254174
9718432367300
10226441386108
1188040293a13
1237a76918990
1318479364882
14ad61a71060
155d54964073
hex34b8f5587c

226441386108 has 144 divisors (see below), whose sum is σ = 687686854400. Its totient is φ = 63811131264.

The previous prime is 226441386107. The next prime is 226441386139. The reversal of 226441386108 is 801683144622.

226441386108 is a `hidden beast` number, since 2 + 26 + 4 + 4 + 1 + 3 + 8 + 610 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226441386103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268743 + ... + 724641.

Almost surely, 2226441386108 is an apocalyptic number.

226441386108 is a gapful number since it is divisible by the number (28) 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 226441386108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343843427200).

226441386108 is an abundant number, since it is smaller than the sum of its proper divisors (461245468292).

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

226441386108 is a wasteful number, since it uses less digits than its factorization.

226441386108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455998 (or 455984 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 226441386108 in words is "two hundred twenty-six billion, four hundred forty-one million, three hundred eighty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 81 84 108 126 146 162 189 219 243 252 292 324 378 438 486 511 567 657 756 876 972 1022 1134 1314 1533 1701 1971 2044 2268 2628 3066 3402 3942 4599 5913 6132 6804 7884 9198 11826 13797 17739 18396 23652 27594 35478 41391 55188 70956 82782 124173 165564 248346 455899 496692 911798 1367697 1823596 2735394 3191293 4103091 5470788 6382586 8206182 9573879 12309273 12765172 16412364 19147758 24618546 28721637 33280627 36927819 38295516 49237092 57443274 66561254 73855638 86164911 99841881 110783457 114886548 133122508 147711276 172329822 199683762 221566914 232964389 258494733 299525643 344659644 399367524 443133828 465928778 516989466 599051286 698893167 775484199 898576929 931857556 1033978932 1198102572 1397786334 1550968398 1797153858 2096679501 2695730787 2795572668 3101936796 3594307716 4193359002 5391461574 6290038503 8087192361 8386718004 10782923148 12580077006 16174384722 18870115509 25160154012 32348769444 37740231018 56610346527 75480462036 113220693054 226441386108