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226502189568 = 2936192412
BaseRepresentation
bin1101001011110010010…
…1010010001000000000
3210122122022211102000000
43102330211102020000
512202334030031233
6252015332000000
722235635562544
oct3227445221000
9718568742000
10226502189568
1188071643506
1237a93160000
1318488b33455
14ad69b7ba24
155d59e74d13
hex34bc952200

226502189568 has 630 divisors, whose sum is σ = 734016882357. Its totient is φ = 69782446080.

The previous prime is 226502189561. The next prime is 226502189591. The reversal of 226502189568 is 865981205622.

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.

226502189568 is a `hidden beast` number, since 2 + 2 + 6 + 50 + 21 + 8 + 9 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161758404864 + 64743784704 = 402192^2 + 254448^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336528.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (226502189561) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5524443628 + ... + 5524443668.

Almost surely, 2226502189568 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 226502189568

226502189568 is an abundant number, since it is smaller than the sum of its proper divisors (507514692789).

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

226502189568 is an frugal number, since it uses more digits than its factorization.

226502189568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 226502189568 in words is "two hundred twenty-six billion, five hundred two million, one hundred eighty-nine thousand, five hundred sixty-eight".