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228149169696 = 25387267331
BaseRepresentation
bin1101010001111011000…
…0000000111000100000
3210210220002220200000000
43110132300000320200
512214222141412241
6252451004300000
722324514642100
oct3243660007040
9723802820000
10228149169696
1188837293008
1238272841600
131868c107bc6
14b0847c1200
155e04853eb6
hex351ec00e20

228149169696 has 648 divisors, whose sum is σ = 797813963856. Its totient is φ = 64018563840.

The previous prime is 228149169671. The next prime is 228149169709. The reversal of 228149169696 is 696961941822.

228149169696 is a `hidden beast` number, since 2 + 2 + 81 + 491 + 6 + 9 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 689272251 + ... + 689272581.

Almost surely, 2228149169696 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 228149169696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398906981928).

228149169696 is an abundant number, since it is smaller than the sum of its proper divisors (569664794160).

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

228149169696 is an frugal number, since it uses more digits than its factorization.

228149169696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 410 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 228149169696 in words is "two hundred twenty-eight billion, one hundred forty-nine million, one hundred sixty-nine thousand, six hundred ninety-six".