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226486620 = 2232531371097
BaseRepresentation
bin11010111111111…
…10100101011100
3120210011201020100
431133332211130
5430440032440
634250221100
75420050563
oct1537764534
9523151210
10226486620
11106933828
1263a24790
1337bcc069
1422118bda
1514d3c230
hexd7fe95c

226486620 has 144 divisors (see below), whose sum is σ = 729001728. Its totient is φ = 56816640.

The previous prime is 226486609. The next prime is 226486639. The reversal of 226486620 is 26684622.

226486620 is a `hidden beast` number, since 2 + 2 + 648 + 6 + 6 + 2 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205912 + ... + 207008.

It is an arithmetic number, because the mean of its divisors is an integer number (5062512).

Almost surely, 2226486620 is an apocalyptic number.

226486620 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 226486620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500864).

226486620 is an abundant number, since it is smaller than the sum of its proper divisors (502515108).

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

226486620 is a wasteful number, since it uses less digits than its factorization.

226486620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 226486620 is about 15049.4724160018. The cubic root of 226486620 is about 609.5568042945.

The spelling of 226486620 in words is "two hundred twenty-six million, four hundred eighty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 148 155 180 185 186 222 279 310 333 370 372 444 465 555 558 620 666 740 930 1097 1110 1116 1147 1332 1395 1665 1860 2194 2220 2294 2790 3291 3330 3441 4388 4588 5485 5580 5735 6582 6660 6882 9873 10323 10970 11470 13164 13764 16455 17205 19746 20646 21940 22940 32910 34007 34410 39492 40589 41292 49365 51615 65820 68014 68820 81178 98730 102021 103230 121767 136028 162356 170035 197460 202945 204042 206460 243534 306063 340070 365301 405890 408084 487068 510105 608835 612126 680140 730602 811780 1020210 1217670 1224252 1258259 1461204 1530315 1826505 2040420 2435340 2516518 3060630 3653010 3774777 5033036 6121260 6291295 7306020 7549554 11324331 12582590 15099108 18873885 22648662 25165180 37747770 45297324 56621655 75495540 113243310 226486620