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948225138 = 237672111597
BaseRepresentation
bin111000100001001…
…100010001110010
32110002020211100120
4320201030101302
53420221201023
6234031431110
732332531530
oct7041142162
92402224316
10948225138
11447280643
12225685496
131215acc83
148dd11150
15583a58e3
hex3884c472

948225138 has 64 divisors (see below), whose sum is σ = 2211529728. Its totient is φ = 265446720.

The previous prime is 948225043. The next prime is 948225139. The reversal of 948225138 is 831522849.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 948225138.

It is not an unprimeable number, because it can be changed into a prime (948225139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592956 + ... + 594552.

It is an arithmetic number, because the mean of its divisors is an integer number (34555152).

Almost surely, 2948225138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948225138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105764864).

948225138 is an abundant number, since it is smaller than the sum of its proper divisors (1263304590).

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

948225138 is a wasteful number, since it uses less digits than its factorization.

948225138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887.

The product of its digits is 138240, while the sum is 42.

The square root of 948225138 is about 30793.2644907941. The cubic root of 948225138 is about 982.4349895152.

The spelling of 948225138 in words is "nine hundred forty-eight million, two hundred twenty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 211 402 422 469 633 938 1266 1407 1477 1597 2814 2954 3194 4431 4791 8862 9582 11179 14137 22358 28274 33537 42411 67074 84822 98959 106999 197918 213998 296877 320997 336967 593754 641994 673934 748993 1010901 1497986 2021802 2246979 2358769 4493958 4717538 7076307 14152614 22576789 45153578 67730367 135460734 158037523 316075046 474112569 948225138