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145228096 = 2613199187
BaseRepresentation
bin10001010100000…
…00000101000000
3101010021100111101
420222000011000
5244134244341
622224424144
73412263346
oct1052000500
9333240441
10145228096
1174a83022
1240778054
132411abb0
1415405996
15cb3a831
hex8a80140

145228096 has 56 divisors (see below), whose sum is σ = 326725280. Its totient is φ = 63493632.

The previous prime is 145228091. The next prime is 145228099. The reversal of 145228096 is 690822541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145228091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11215 + ... + 20401.

It is an arithmetic number, because the mean of its divisors is an integer number (5834380).

Almost surely, 2145228096 is an apocalyptic number.

145228096 is a gapful number since it is divisible by the number (16) 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 145228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163362640).

145228096 is an abundant number, since it is smaller than the sum of its proper divisors (181497184).

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

145228096 is a wasteful number, since it uses less digits than its factorization.

145228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 145228096 is about 12051.0620278878. The cubic root of 145228096 is about 525.6341193360.

The spelling of 145228096 in words is "one hundred forty-five million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 9187 15808 18374 36748 73496 119431 146992 174553 238862 293984 349106 477724 587968 698212 955448 1396424 1910896 2269189 2792848 3821792 4538378 5585696 7643584 9076756 11171392 18153512 36307024 72614048 145228096