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226187750464 = 261321722692
BaseRepresentation
bin1101001010100111010…
…1110010110001000000
3210121211102011020122021
43102221311302301000
512201213031003324
6251524220251224
722225100104504
oct3225165626100
9717742136567
10226187750464
1187a200a7785
1237a059a0b14
131843894b400
14ad3a0ca304
155d3c562ae4
hex34a9d72c40

226187750464 has 189 divisors, whose sum is σ = 518221240797. Its totient is φ = 97888247808.

The previous prime is 226187750401. The next prime is 226187750489. The reversal of 226187750464 is 464057781622.

The square root of 226187750464 is 475592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 220141132864 + 6046617600 = 469192^2 + 77760^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 840846522 + ... + 840846790.

Almost surely, 2226187750464 is an apocalyptic number.

226187750464 is the 475592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226187750464

226187750464 is an abundant number, since it is smaller than the sum of its proper divisors (292033490333).

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

226187750464 is an equidigital number, since it uses as much as digits as its factorization.

226187750464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 226187750464 in words is "two hundred twenty-six billion, one hundred eighty-seven million, seven hundred fifty thousand, four hundred sixty-four".