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228378501120 = 2133571124137
BaseRepresentation
bin1101010010110001101…
…0110110000000000000
3210211111002102220120110
43110230122312000000
512220204344013440
6252525435511320
722333301141610
oct3245432660000
9724432386513
10228378501120
118894478a110
12383175b8540
13186c7791a83
14b0a703aa40
155e19a54080
hex352c6b6000

228378501120 has 448 divisors, whose sum is σ = 911123375616. Its totient is φ = 47453306880.

The previous prime is 228378501067. The next prime is 228378501149. The reversal of 228378501120 is 21105873822.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9449692 + ... + 9473828.

Almost surely, 2228378501120 is an apocalyptic number.

228378501120 is a gapful number since it is divisible by the number (20) 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 228378501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455561687808).

228378501120 is an abundant number, since it is smaller than the sum of its proper divisors (682744874496).

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

228378501120 is a wasteful number, since it uses less digits than its factorization.

228378501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24189 (or 24165 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 228378501120 in words is "two hundred twenty-eight billion, three hundred seventy-eight million, five hundred one thousand, one hundred twenty".