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226230620 = 225711413583
BaseRepresentation
bin11010111110000…
…00000101011100
3120202200201001212
431133000011130
5430403334440
634240523552
75414633330
oct1537000534
9522621055
10226230620
11106779460
12639205b8
1337b3c695
142208d7c0
1514cdb465
hexd7c015c

226230620 has 96 divisors (see below), whose sum is σ = 606928896. Its totient is φ = 68774400.

The previous prime is 226230619. The next prime is 226230623. The reversal of 226230620 is 26032622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226230623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 61349 + ... + 64931.

It is an arithmetic number, because the mean of its divisors is an integer number (6322176).

Almost surely, 2226230620 is an apocalyptic number.

226230620 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 226230620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303464448).

226230620 is an abundant number, since it is smaller than the sum of its proper divisors (380698276).

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

226230620 is a wasteful number, since it uses less digits than its factorization.

226230620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 226230620 is about 15040.9647296974. The cubic root of 226230620 is about 609.3270550751.

The spelling of 226230620 in words is "two hundred twenty-six million, two hundred thirty thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 451 574 770 820 902 1148 1435 1540 1804 2255 2870 3157 3583 4510 5740 6314 7166 9020 12628 14332 15785 17915 25081 31570 35830 39413 50162 63140 71660 78826 100324 125405 146903 157652 197065 250810 275891 293806 394130 501620 551782 587612 734515 788260 1028321 1103564 1379455 1469030 1615933 2056642 2758910 2938060 3231866 4113284 5141605 5517820 6463732 8079665 10283210 11311531 16159330 20566420 22623062 32318660 45246124 56557655 113115310 226230620