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226901380 = 22517412397
BaseRepresentation
bin11011000011000…
…11110110000100
3120210221210011211
431201203312010
5431041321010
634303141204
75423426026
oct1541436604
9523853154
10226901380
11107097402
1263ba4804
1338015a94
14221c6016
1514dc008a
hexd863d84

226901380 has 72 divisors (see below), whose sum is σ = 518430024. Its totient is φ = 83128320.

The previous prime is 226901377. The next prime is 226901387. The reversal of 226901380 is 83109622.

It can be written as a sum of positive squares in 12 ways, for example, as 115218756 + 111682624 = 10734^2 + 10568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226901387) 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 23 ways as a sum of consecutive naturals, for example, 571342 + ... + 571738.

It is an arithmetic number, because the mean of its divisors is an integer number (7200417).

Almost surely, 2226901380 is an apocalyptic number.

226901380 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 226901380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259215012).

226901380 is an abundant number, since it is smaller than the sum of its proper divisors (291528644).

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

226901380 is a wasteful number, since it uses less digits than its factorization.

226901380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 226901380 is about 15063.2459981240. The cubic root of 226901380 is about 609.9286667460.

The spelling of 226901380 in words is "two hundred twenty-six million, nine hundred one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 397 410 697 794 820 1394 1588 1681 1985 2788 3362 3485 3970 6724 6749 6970 7940 8405 13498 13940 16277 16810 26996 28577 32554 33620 33745 57154 65108 67490 81385 114308 134980 142885 162770 276709 285770 325540 553418 571540 667357 1106836 1334714 1383545 2669428 2767090 3336785 5534180 6673570 11345069 13347140 22690138 45380276 56725345 113450690 226901380