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226003140 = 2232511114143
BaseRepresentation
bin11010111100010…
…00100011000100
3120202021011000200
431132020203010
5430324100030
634232010500
75412665166
oct1536104304
9522234020
10226003140
11106633560
1263830a30
1337a8cc8c
1422030936
1514c93d60
hexd7888c4

226003140 has 72 divisors (see below), whose sum is σ = 747871488. Its totient is φ = 54788160.

The previous prime is 226003133. The next prime is 226003147. The reversal of 226003140 is 41300622.

It is a happy number.

226003140 is a `hidden beast` number, since 22 + 600 + 3 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (226003133) and next prime (226003147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (226003147) 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, 55092 + ... + 59051.

It is an arithmetic number, because the mean of its divisors is an integer number (10387104).

Almost surely, 2226003140 is an apocalyptic number.

226003140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226003140 is an abundant number, since it is smaller than the sum of its proper divisors (521868348).

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

226003140 is a wasteful number, since it uses less digits than its factorization.

226003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114169 (or 114164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226003140 is about 15033.4008128567. The cubic root of 226003140 is about 609.1227558768.

Adding to 226003140 its reverse (41300622), we get a palindrome (267303762).

The spelling of 226003140 in words is "two hundred twenty-six million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 114143 228286 342429 456572 570715 684858 1027287 1141430 1255573 1369716 1712145 2054574 2282860 2511146 3424290 3766719 4109148 5022292 5136435 6277865 6848580 7533438 10272870 11300157 12555730 15066876 18833595 20545740 22600314 25111460 37667190 45200628 56500785 75334380 113001570 226003140