Search a number
-
+
227490432 = 27313199229
BaseRepresentation
bin11011000111100…
…11101010000000
3120212001201012120
431203303222000
5431214143212
634323524240
75431431261
oct1543635200
9525051176
10227490432
11107459a24
1264229680
1338190c30
14222da968
1514e8988c
hexd8f3a80

227490432 has 128 divisors (see below), whose sum is σ = 656880000. Its totient is φ = 69341184.

The previous prime is 227490391. The next prime is 227490433. The reversal of 227490432 is 234094722.

227490432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 227490393 and 227490402.

It is not an unprimeable number, because it can be changed into a prime (227490433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993294 + ... + 993522.

It is an arithmetic number, because the mean of its divisors is an integer number (5131875).

Almost surely, 2227490432 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 227490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328440000).

227490432 is an abundant number, since it is smaller than the sum of its proper divisors (429389568).

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

227490432 is a wasteful number, since it uses less digits than its factorization.

227490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 227490432 is about 15082.7859495519. The cubic root of 227490432 is about 610.4560166215.

The spelling of 227490432 in words is "two hundred twenty-seven million, four hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 199 208 229 312 384 398 416 458 597 624 687 796 832 916 1194 1248 1374 1592 1664 1832 2388 2496 2587 2748 2977 3184 3664 4776 4992 5174 5496 5954 6368 7328 7761 8931 9552 10348 10992 11908 12736 14656 15522 17862 19104 20696 21984 23816 25472 29312 31044 35724 38208 41392 43968 45571 47632 62088 71448 76416 82784 87936 91142 95264 124176 136713 142896 165568 182284 190528 248352 273426 285792 331136 364568 381056 496704 546852 571584 592423 729136 993408 1093704 1143168 1184846 1458272 1777269 2187408 2369692 2916544 3554538 4374816 4739384 5833088 7109076 8749632 9478768 14218152 17499264 18957536 28436304 37915072 56872608 75830144 113745216 227490432