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226740480 = 2835137431
BaseRepresentation
bin11011000001111…
…00100100000000
3120210122121110120
431200330210000
5431021143410
634255500240
75422155651
oct1540744400
9523577416
10226740480
11106a9752a
1263b27680
1337c8a785
1422183528
1514d8c570
hexd83c900

226740480 has 144 divisors (see below), whose sum is σ = 731130624. Its totient is φ = 59883520.

The previous prime is 226740469. The next prime is 226740491. The reversal of 226740480 is 84047622.

It is an interprime number because it is at equal distance from previous prime (226740469) and next prime (226740491).

It is a super-2 number, since 2×2267404802 = 102822490541260800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525865 + ... + 526295.

It is an arithmetic number, because the mean of its divisors is an integer number (5077296).

Almost surely, 2226740480 is an apocalyptic number.

226740480 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 226740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365565312).

226740480 is an abundant number, since it is smaller than the sum of its proper divisors (504390144).

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

226740480 is a wasteful number, since it uses less digits than its factorization.

226740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 226740480 is about 15057.9042366459. The cubic root of 226740480 is about 609.7844620572.

The spelling of 226740480 in words is "two hundred twenty-six million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 256 274 320 384 411 431 480 548 640 685 768 822 862 960 1096 1280 1293 1370 1644 1724 1920 2055 2155 2192 2586 2740 3288 3448 3840 4110 4310 4384 5172 5480 6465 6576 6896 8220 8620 8768 10344 10960 12930 13152 13792 16440 17240 17536 20688 21920 25860 26304 27584 32880 34480 35072 41376 43840 51720 52608 55168 59047 65760 68960 82752 87680 103440 105216 110336 118094 131520 137920 165504 175360 177141 206880 236188 263040 275840 295235 331008 354282 413760 472376 526080 551680 590470 708564 827520 885705 944752 1180940 1417128 1655040 1771410 1889504 2361880 2834256 3542820 3779008 4723760 5668512 7085640 7558016 9447520 11337024 14171280 15116032 18895040 22674048 28342560 37790080 45348096 56685120 75580160 113370240 226740480