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248213301 = 3722395279
BaseRepresentation
bin11101100101101…
…10111100110101
3122022001112122020
432302312330311
51002020311201
640344023353
76102530640
oct1662667465
9568045566
10248213301
11118123366
126b161b59
133c56839b
1424d72a57
1516bcea36
hexecb6f35

248213301 has 16 divisors (see below), whose sum is σ = 378470400. Its totient is φ = 141745968.

The previous prime is 248213281. The next prime is 248213323. The reversal of 248213301 is 103312842.

It is not a de Polignac number, because 248213301 - 26 = 248213237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248212301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44380 + ... + 49658.

It is an arithmetic number, because the mean of its divisors is an integer number (23654400).

Almost surely, 2248213301 is an apocalyptic number.

248213301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

248213301 is a deficient number, since it is larger than the sum of its proper divisors (130257099).

248213301 is a wasteful number, since it uses less digits than its factorization.

248213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7528.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 248213301 is about 15754.7866059811. The cubic root of 248213301 is about 628.4562024201.

The spelling of 248213301 in words is "two hundred forty-eight million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 7 21 2239 5279 6717 15673 15837 36953 47019 110859 11819681 35459043 82737767 248213301