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226895040 = 2633526261
BaseRepresentation
bin11011000011000…
…10010011000000
3120210221110111000
431201202103000
5431041120130
634303052000
75423401401
oct1541422300
9523843430
10226895040
11107092669
1263ba1000
1338012c28
14221c39a8
1514dbd260
hexd8624c0

226895040 has 112 divisors (see below), whose sum is σ = 800465760. Its totient is φ = 60503040.

The previous prime is 226895033. The next prime is 226895057. The reversal of 226895040 is 40598622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226894986 and 226895004.

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, 4491 + ... + 21770.

Almost surely, 2226895040 is an apocalyptic number.

226895040 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 226895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400232880).

226895040 is an abundant number, since it is smaller than the sum of its proper divisors (573570720).

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

226895040 is a wasteful number, since it uses less digits than its factorization.

226895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26287 (or 26271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 226895040 is about 15063.0355506452. The cubic root of 226895040 is about 609.9229858877.

The spelling of 226895040 in words is "two hundred twenty-six million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 26261 52522 78783 105044 131305 157566 210088 236349 262610 315132 393915 420176 472698 525220 630264 709047 787830 840352 945396 1050440 1181745 1260528 1418094 1575660 1680704 1890792 2100880 2363490 2521056 2836188 3151320 3545235 3781584 4201760 4726980 5042112 5672376 6302640 7090470 7563168 8403520 9453960 11344752 12605280 14180940 15126336 18907920 22689504 25210560 28361880 37815840 45379008 56723760 75631680 113447520 226895040