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226144440 = 23335209393
BaseRepresentation
bin11010111101010…
…11000010111000
3120202112022212000
431132223002320
5430343110230
634235021000
75414124144
oct1536530270
9522468760
10226144440
1110671a735
126389a760
1337b0c3a2
142206a224
1514cc0b60
hexd7ab0b8

226144440 has 64 divisors (see below), whose sum is σ = 753818400. Its totient is φ = 60304896.

The previous prime is 226144409. The next prime is 226144453. The reversal of 226144440 is 44441622.

It is a happy number.

226144440 is a `hidden beast` number, since 2 + 2 + 614 + 4 + 4 + 40 = 666.

It is a super-2 number, since 2×2261444402 = 102282615485827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103617 + ... + 105776.

Almost surely, 2226144440 is an apocalyptic number.

226144440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226144440 is an abundant number, since it is smaller than the sum of its proper divisors (527673960).

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

226144440 is a wasteful number, since it uses less digits than its factorization.

226144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209413 (or 209403 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 226144440 is about 15038.0996139805. The cubic root of 226144440 is about 609.2496731614.

The spelling of 226144440 in words is "two hundred twenty-six million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 209393 418786 628179 837572 1046965 1256358 1675144 1884537 2093930 2512716 3140895 3769074 4187860 5025432 5653611 6281790 7538148 8375720 9422685 11307222 12563580 15076296 18845370 22614444 25127160 28268055 37690740 45228888 56536110 75381480 113072220 226144440