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201948825 = 35213207127
BaseRepresentation
bin11000000100101…
…11111010011001
3112002000001201010
430002113322121
5403144330300
632012244133
75001352041
oct1402277231
9462001633
10201948825
11a3aa4161
1257770649
1332aba360
141cb6c721
1512ae1a50
hexc097e99

201948825 has 24 divisors (see below), whose sum is σ = 359574208. Its totient is φ = 99420480.

The previous prime is 201948781. The next prime is 201948833. The reversal of 201948825 is 528849102.

201948825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201948825 - 213 = 201940633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102589 + ... + 104538.

Almost surely, 2201948825 is an apocalyptic number.

201948825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201948825 is a deficient number, since it is larger than the sum of its proper divisors (157625383).

201948825 is a wasteful number, since it uses less digits than its factorization.

201948825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207153 (or 207148 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 201948825 is about 14210.8699592952. The cubic root of 201948825 is about 586.6968775693.

The spelling of 201948825 in words is "two hundred one million, nine hundred forty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 975 207127 621381 1035635 2692651 3106905 5178175 8077953 13463255 15534525 40389765 67316275 201948825