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226934640 = 24325615167
BaseRepresentation
bin11011000011010…
…11111101110000
3120211000110210200
431201223331300
5431043402030
634303555200
75423625012
oct1541537560
9524013720
10226934640
1110710a399
1263bbbb00
1338027c6a
14221d41b2
1514dc9d60
hexd86bf70

226934640 has 120 divisors (see below), whose sum is σ = 774765888. Its totient is φ = 59512320.

The previous prime is 226934639. The next prime is 226934641. The reversal of 226934640 is 46439622.

226934640 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 3 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (226934639) and next prime (226934641).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 226934595 and 226934604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226934641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41337 + ... + 46503.

Almost surely, 2226934640 is an apocalyptic number.

226934640 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 226934640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387382944).

226934640 is an abundant number, since it is smaller than the sum of its proper divisors (547831248).

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

226934640 is a wasteful number, since it uses less digits than its factorization.

226934640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 226934640 is about 15064.3499693814. The cubic root of 226934640 is about 609.9584671176.

The spelling of 226934640 in words is "two hundred twenty-six million, nine hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5167 5490 7320 8784 10334 10980 14640 15501 20668 21960 25835 31002 41336 43920 46503 51670 62004 77505 82672 93006 103340 124008 155010 186012 206680 232515 248016 310020 315187 372024 413360 465030 620040 630374 744048 930060 945561 1240080 1260748 1575935 1860120 1891122 2521496 2836683 3151870 3720240 3782244 4727805 5042992 5673366 6303740 7564488 9455610 11346732 12607480 14183415 15128976 18911220 22693464 25214960 28366830 37822440 45386928 56733660 75644880 113467320 226934640