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227135232 = 2833171933
BaseRepresentation
bin11011000100111…
…00111100000000
3120211101122222000
431202130330000
5431121311412
634312144000
75425421562
oct1542347400
9524348860
10227135232
11107237075
1264098000
133809835c
1422247332
1514e194dc
hexd89cf00

227135232 has 144 divisors (see below), whose sum is σ = 711557280. Its totient is φ = 71221248.

The previous prime is 227135231. The next prime is 227135243. The reversal of 227135232 is 232531722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 227135196 and 227135205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227135231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116538 + ... + 118470.

It is an arithmetic number, because the mean of its divisors is an integer number (4941370).

Almost surely, 2227135232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355778640).

227135232 is an abundant number, since it is smaller than the sum of its proper divisors (484422048).

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

227135232 is a wasteful number, since it uses less digits than its factorization.

227135232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1955 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 227135232 is about 15071.0063366717. The cubic root of 227135232 is about 610.1381322942.

Adding to 227135232 its reverse (232531722), we get a palindrome (459666954).

The spelling of 227135232 in words is "two hundred twenty-seven million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 1933 2176 2304 2448 3264 3456 3672 3866 4352 4896 5799 6528 6912 7344 7732 9792 11598 13056 14688 15464 17397 19584 23196 29376 30928 32861 34794 39168 46392 52191 58752 61856 65722 69588 92784 98583 104382 117504 123712 131444 139176 185568 197166 208764 247424 262888 278352 295749 371136 394332 417528 494848 525776 556704 591498 742272 788664 835056 887247 1051552 1113408 1182996 1484544 1577328 1670112 1774494 2103104 2226816 2365992 3154656 3340224 3548988 4206208 4453632 4731984 6309312 6680448 7097976 8412416 9463968 12618624 13360896 14195952 18927936 25237248 28391904 37855872 56783808 75711744 113567616 227135232