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188325540 = 2233513139193
BaseRepresentation
bin10110011100110…
…01111010100100
3111010100221002000
423032121322210
5341202404130
630404245300
74444512024
oct1316317244
9433327060
10188325540
1197339847
12530a0830
133002a540
141b023a84
1511800260
hexb399ea4

188325540 has 192 divisors, whose sum is σ = 638803200. Its totient is φ = 45785088.

The previous prime is 188325497. The next prime is 188325559. The reversal of 188325540 is 45523881.

It is a happy number.

188325540 is a `hidden beast` number, since 1 + 88 + 32 + 5 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 188325495 and 188325504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975684 + ... + 975876.

It is an arithmetic number, because the mean of its divisors is an integer number (3327100).

Almost surely, 2188325540 is an apocalyptic number.

188325540 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 188325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319401600).

188325540 is an abundant number, since it is smaller than the sum of its proper divisors (450477660).

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

188325540 is a wasteful number, since it uses less digits than its factorization.

188325540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 188325540 is about 13723.1752885402. The cubic root of 188325540 is about 573.1958980414.

The spelling of 188325540 in words is "one hundred eighty-eight million, three hundred twenty-five thousand, five hundred forty".