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2248350 = 2352131153
BaseRepresentation
bin1000100100111010011110
311020020011020
420210322132
51033421400
6120105010
725052646
oct10447236
94206136
102248350
1112a6245
12905166
136094b0
14427526
152e62a0
hex224e9e

2248350 has 48 divisors (see below), whose sum is σ = 6010032. Its totient is φ = 552960.

The previous prime is 2248349. The next prime is 2248373. The reversal of 2248350 is 538422.

2248350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2248350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374 + ... + 2526.

It is an arithmetic number, because the mean of its divisors is an integer number (125209).

22248350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005016).

2248350 is an abundant number, since it is smaller than the sum of its proper divisors (3761682).

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

2248350 is a wasteful number, since it uses less digits than its factorization.

2248350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2248350 is about 1499.4498991297. The cubic root of 2248350 is about 131.0050305937.

The spelling of 2248350 in words is "two million, two hundred forty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1153 1950 2306 3459 5765 6918 11530 14989 17295 28825 29978 34590 44967 57650 74945 86475 89934 149890 172950 224835 374725 449670 749450 1124175 2248350