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146182224 = 24311326951
BaseRepresentation
bin10001011011010…
…01000001010000
3101012001211022110
420231221001100
5244410312344
622301105320
73423346146
oct1055510120
9335054273
10146182224
1175574961
1240b58240
1324393276
14155b3596
15cc783b9
hex8b69050

146182224 has 40 divisors (see below), whose sum is σ = 380993472. Its totient is φ = 48294400.

The previous prime is 146182217. The next prime is 146182247. The reversal of 146182224 is 422281641.

It is a super-2 number, since 2×1461822242 = 42738485227172352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 146182191 and 146182200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8052 + ... + 18899.

Almost surely, 2146182224 is an apocalyptic number.

It is an amenable number.

146182224 is an abundant number, since it is smaller than the sum of its proper divisors (234811248).

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

146182224 is a wasteful number, since it uses less digits than its factorization.

146182224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27075 (or 27069 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 146182224 is about 12090.5841049967. The cubic root of 146182224 is about 526.7827214915.

The spelling of 146182224 in words is "one hundred forty-six million, one hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 26951 53902 80853 107804 161706 215608 323412 431216 646824 1293648 3045463 6090926 9136389 12181852 18272778 24363704 36545556 48727408 73091112 146182224