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226061430 = 235719531069
BaseRepresentation
bin11010111100101…
…10110001110110
3120202101002222120
431132112301312
5430332431210
634233140410
75413330140
oct1536266166
9522332876
10226061430
11106673331
126385a706
1337ab067a
1422047c90
1514ca6270
hexd796c76

226061430 has 128 divisors (see below), whose sum is σ = 665625600. Its totient is φ = 47983104.

The previous prime is 226061347. The next prime is 226061441. The reversal of 226061430 is 34160622.

It is a super-2 number, since 2×2260614302 = 102207540267289800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 226061430.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 210936 + ... + 212004.

It is an arithmetic number, because the mean of its divisors is an integer number (5200200).

Almost surely, 2226061430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226061430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332812800).

226061430 is an abundant number, since it is smaller than the sum of its proper divisors (439564170).

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

226061430 is a wasteful number, since it uses less digits than its factorization.

226061430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226061430 is about 15035.3393709620. The cubic root of 226061430 is about 609.1751190333.

The spelling of 226061430 in words is "two hundred twenty-six million, sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 53 57 70 95 105 106 114 133 159 190 210 265 266 285 318 371 399 530 570 665 742 795 798 1007 1069 1113 1330 1590 1855 1995 2014 2138 2226 3021 3207 3710 3990 5035 5345 5565 6042 6414 7049 7483 10070 10690 11130 14098 14966 15105 16035 20311 21147 22449 30210 32070 35245 37415 40622 42294 44898 56657 60933 70490 74830 101555 105735 112245 113314 121866 142177 169971 203110 211470 224490 283285 284354 304665 339942 396599 426531 566570 609330 710885 793198 849855 853062 1076483 1189797 1421770 1699710 1982995 2132655 2152966 2379594 3229449 3965990 4265310 5382415 5948985 6458898 7535381 10764830 11897970 15070762 16147245 22606143 32294490 37676905 45212286 75353810 113030715 226061430