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228754050624 = 26321132312973
BaseRepresentation
bin1101010100001011001…
…1011100111001000000
3210212110021002210122100
43111002303130321000
512221442014104444
6253031013110400
722345511230251
oct3250263347100
9725407083570
10228754050624
1189017775000
1238401328400
1318757522308
14b100c78b28
155e3c9d7e69
hex3542cdce40

228754050624 has 336 divisors, whose sum is σ = 752615720064. Its totient is φ = 66300410880.

The previous prime is 228754050611. The next prime is 228754050631. The reversal of 228754050624 is 426050457822.

228754050624 is a `hidden beast` number, since 2 + 2 + 87 + 5 + 40 + 506 + 24 = 666.

228754050624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 228754050624.

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 47 ways as a sum of consecutive naturals, for example, 17626602 + ... + 17639574.

Almost surely, 2228754050624 is an apocalyptic number.

228754050624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228754050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376307860032).

228754050624 is an abundant number, since it is smaller than the sum of its proper divisors (523861669440).

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

228754050624 is a wasteful number, since it uses less digits than its factorization.

228754050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 228754050624 in words is "two hundred twenty-eight billion, seven hundred fifty-four million, fifty thousand, six hundred twenty-four".