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226462060 = 225115973239
BaseRepresentation
bin11010111111110…
…00100101101100
3120210010110112201
431133320211230
5430433241220
634245511244
75416616146
oct1537704554
9523113481
10226462060
11106917330
1263a12524
1337bc0b26
142210dc96
1514d34d0a
hexd7f896c

226462060 has 96 divisors (see below), whose sum is σ = 537062400. Its totient is φ = 79511040.

The previous prime is 226462051. The next prime is 226462069. The reversal of 226462060 is 60264622.

It is an interprime number because it is at equal distance from previous prime (226462051) and next prime (226462069).

It is not an unprimeable number, because it can be changed into a prime (226462069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947421 + ... + 947659.

It is an arithmetic number, because the mean of its divisors is an integer number (5594400).

Almost surely, 2226462060 is an apocalyptic number.

226462060 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 226462060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268531200).

226462060 is an abundant number, since it is smaller than the sum of its proper divisors (310600340).

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

226462060 is a wasteful number, since it uses less digits than its factorization.

226462060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 226462060 is about 15048.6564184315. The cubic root of 226462060 is about 609.5347702390.

The spelling of 226462060 in words is "two hundred twenty-six million, four hundred sixty-two thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 73 110 118 146 220 236 239 292 295 365 478 590 649 730 803 956 1180 1195 1298 1460 1606 2390 2596 2629 3212 3245 4015 4307 4780 5258 6490 8030 8614 10516 12980 13145 14101 16060 17228 17447 21535 26290 28202 34894 43070 47377 52580 56404 69788 70505 86140 87235 94754 141010 155111 174470 189508 191917 236885 282020 310222 348940 383834 473770 620444 767668 775555 947540 959585 1029373 1551110 1919170 2058746 3102220 3838340 4117492 5146865 10293730 11323103 20587460 22646206 45292412 56615515 113231030 226462060