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248138200 = 23521240691
BaseRepresentation
bin11101100101001…
…00100111011000
3122021220201121201
432302210213120
51002010410300
640342243544
76102065662
oct1662444730
9567821551
10248138200
111180819a2
126b1265b4
133c54014b
1424d53532
1516bb766a
hexeca49d8

248138200 has 24 divisors (see below), whose sum is σ = 576921780. Its totient is φ = 99255200.

The previous prime is 248138183. The next prime is 248138207. The reversal of 248138200 is 2831842.

248138200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248138207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 620146 + ... + 620545.

Almost surely, 2248138200 is an apocalyptic number.

248138200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248138200 is an abundant number, since it is smaller than the sum of its proper divisors (328783580).

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

248138200 is a wasteful number, since it uses less digits than its factorization.

248138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240707 (or 1240698 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 248138200 is about 15752.4029912899. The cubic root of 248138200 is about 628.3928127871.

The spelling of 248138200 in words is "two hundred forty-eight million, one hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1240691 2481382 4962764 6203455 9925528 12406910 24813820 31017275 49627640 62034550 124069100 248138200