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226001712672 = 253210922572
BaseRepresentation
bin1101001001111011000…
…0000111011000100000
3210121100110002112202200
43102132300013120200
512200322414301142
6251453533013200
722220350601331
oct3223660073040
9717313075680
10226001712672
118793509083a
1237973624200
1318409242288
14ad1d500288
155d2b06564c
hex349ec07620

226001712672 has 162 divisors, whose sum is σ = 651176447103. Its totient is φ = 74352328704.

The previous prime is 226001712661. The next prime is 226001712691. The reversal of 226001712672 is 276217100622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226001712672 is a `hidden beast` number, since 22 + 600 + 1 + 7 + 1 + 26 + 7 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 224641873296 + 1359839376 = 473964^2 + 36876^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336156.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 879383968 + ... + 879384224.

Almost surely, 2226001712672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226001712672

226001712672 is an abundant number, since it is smaller than the sum of its proper divisors (425174734431).

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

226001712672 is an equidigital number, since it uses as much as digits as its factorization.

226001712672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 226001712672 in words is "two hundred twenty-six billion, one million, seven hundred twelve thousand, six hundred seventy-two".