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145225740 = 2235111937313
BaseRepresentation
bin10001010011111…
…11100000001100
3101010021020021010
420221333200030
5244134210430
622224405220
73412253442
oct1051774014
9333236233
10145225740
1174a81280
1240776810
1324119aba
1415404b92
15cb39cb0
hex8a7f80c

145225740 has 192 divisors, whose sum is σ = 481098240. Its totient is φ = 32348160.

The previous prime is 145225739. The next prime is 145225789. The reversal of 145225740 is 47522541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145225698 and 145225707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463824 + ... + 464136.

It is an arithmetic number, because the mean of its divisors is an integer number (2505720).

Almost surely, 2145225740 is an apocalyptic number.

145225740 is a gapful number since it is divisible by the number (10) 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 145225740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240549120).

145225740 is an abundant number, since it is smaller than the sum of its proper divisors (335872500).

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

145225740 is a wasteful number, since it uses less digits than its factorization.

145225740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 145225740 is about 12050.9642767706. The cubic root of 145225740 is about 525.6312769092.

The spelling of 145225740 in words is "one hundred forty-five million, two hundred twenty-five thousand, seven hundred forty".