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226890468 = 223274312089
BaseRepresentation
bin11011000011000…
…01001011100100
3120210221020012200
431201201023210
5431040443333
634303014500
75423352150
oct1541411344
9523836180
10226890468
1110708a192
1263b9a430
1338010b1c
14221c2060
1514dbbc13
hexd8612e4

226890468 has 72 divisors (see below), whose sum is σ = 657296640. Its totient is φ = 64644480.

The previous prime is 226890451. The next prime is 226890481. The reversal of 226890468 is 864098622.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107568 + ... + 109656.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2226890468 is an apocalyptic number.

226890468 is a gapful number since it is divisible by the number (28) 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 226890468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

226890468 is an abundant number, since it is smaller than the sum of its proper divisors (430406172).

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

226890468 is a wasteful number, since it uses less digits than its factorization.

226890468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 226890468 is about 15062.8837876417. The cubic root of 226890468 is about 609.9188891526.

The spelling of 226890468 in words is "two hundred twenty-six million, eight hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 431 862 1293 1724 2089 2586 3017 3879 4178 5172 6034 6267 7758 8356 9051 12068 12534 14623 15516 18102 18801 25068 27153 29246 36204 37602 43869 54306 58492 75204 87738 108612 131607 175476 263214 526428 900359 1800718 2701077 3601436 5402154 6302513 8103231 10804308 12605026 16206462 18907539 25210052 32412924 37815078 56722617 75630156 113445234 226890468