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226404616140 = 223251257803423
BaseRepresentation
bin1101001011011011000…
…1000100011111001100
3210122101112020011102100
43102312301010133030
512202134040204030
6252001524355100
722233342325113
oct3226661043714
9718345204370
10226404616140
118802155a10a
1237a66545a90
131847185c2b1
14ad5ac1cc7a
155d515ee360
hex34b6c447cc

226404616140 has 36 divisors (see below), whose sum is σ = 686760669504. Its totient is φ = 60374564256.

The previous prime is 226404616129. The next prime is 226404616159. The reversal of 226404616140 is 41616404622.

226404616140 is a `hidden beast` number, since 2 + 2 + 640 + 4 + 6 + 1 + 6 + 1 + 4 + 0 = 666.

226404616140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 226404616095 and 226404616104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628901532 + ... + 628901891.

It is an arithmetic number, because the mean of its divisors is an integer number (19076685264).

Almost surely, 2226404616140 is an apocalyptic number.

226404616140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226404616140 is an abundant number, since it is smaller than the sum of its proper divisors (460356053364).

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

226404616140 is a wasteful number, since it uses less digits than its factorization.

226404616140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257803438 (or 1257803433 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 226404616140 in words is "two hundred twenty-six billion, four hundred four million, six hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1257803423 2515606846 3773410269 5031213692 6289017115 7546820538 11320230807 12578034230 15093641076 18867051345 22640461614 25156068460 37734102690 45280923228 56601154035 75468205380 113202308070 226404616140