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226763064 = 233411291097
BaseRepresentation
bin11011000010000…
…10000100111000
3120210200202110000
431201002010320
5431022404224
634300153000
75422311543
oct1541020470
9523622400
10226763064
111070024a0
1263b38760
1337c97b38
142218b85a
1514d940c9
hexd842138

226763064 has 160 divisors (see below), whose sum is σ = 717433200. Its totient is φ = 66286080.

The previous prime is 226763029. The next prime is 226763149. The reversal of 226763064 is 460367622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206164 + ... + 207260.

Almost surely, 2226763064 is an apocalyptic number.

226763064 is a gapful number since it is divisible by the number (24) 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 226763064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358716600).

226763064 is an abundant number, since it is smaller than the sum of its proper divisors (490670136).

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

226763064 is a wasteful number, since it uses less digits than its factorization.

226763064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 226763064 is about 15058.6541231280. The cubic root of 226763064 is about 609.8047068103.

The spelling of 226763064 in words is "two hundred twenty-six million, seven hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 81 87 88 99 108 116 132 162 174 198 216 232 261 264 297 319 324 348 396 522 594 638 648 696 783 792 891 957 1044 1097 1188 1276 1566 1782 1914 2088 2194 2349 2376 2552 2871 3132 3291 3564 3828 4388 4698 5742 6264 6582 7128 7656 8613 8776 9396 9873 11484 12067 13164 17226 18792 19746 22968 24134 25839 26328 29619 31813 34452 36201 39492 48268 51678 59238 63626 68904 72402 78984 88857 95439 96536 103356 108603 118476 127252 144804 177714 190878 206712 217206 236952 254504 286317 289608 325809 349943 355428 381756 434412 572634 651618 699886 710856 763512 858951 868824 977427 1049829 1145268 1303236 1399772 1717902 1954854 2099658 2290536 2576853 2606472 2799544 3149487 3435804 3909708 4199316 5153706 6298974 6871608 7819416 8398632 9448461 10307412 12597948 18896922 20614824 25195896 28345383 37793844 56690766 75587688 113381532 226763064