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226469040 = 24357235861
BaseRepresentation
bin11010111111110…
…10010010110000
3120210010211010020
431133322102300
5430434002130
634250003440
75416645410
oct1537722260
9523124106
10226469040
111069215a6
1263a16580
1337bc4065
1422112640
1514d36e10
hexd7fa4b0

226469040 has 160 divisors (see below), whose sum is σ = 837374976. Its totient is φ = 49505280.

The previous prime is 226469021. The next prime is 226469051. The reversal of 226469040 is 40964622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 226468992 and 226469010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35710 + ... + 41570.

Almost surely, 2226469040 is an apocalyptic number.

226469040 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 226469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418687488).

226469040 is an abundant number, since it is smaller than the sum of its proper divisors (610905936).

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

226469040 is a wasteful number, since it uses less digits than its factorization.

226469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 226469040 is about 15048.8883310363. Note that the first 3 decimals coincide. The cubic root of 226469040 is about 609.5410325227.

The spelling of 226469040 in words is "two hundred twenty-six million, four hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 5861 6440 7728 9660 11722 12880 17583 19320 23444 29305 35166 38640 41027 46888 58610 70332 82054 87915 93776 117220 123081 134803 140664 164108 175830 205135 234440 246162 269606 281328 328216 351660 404409 410270 468880 492324 539212 615405 656432 674015 703320 808818 820540 943621 984648 1078424 1230810 1348030 1406640 1617636 1641080 1887242 1969296 2022045 2156848 2461620 2696060 2830863 3235272 3282160 3774484 4044090 4718105 4923240 5392120 5661726 6470544 7548968 8088180 9436210 9846480 10784240 11323452 14154315 15097936 16176360 18872420 22646904 28308630 32352720 37744840 45293808 56617260 75489680 113234520 226469040