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2048228 = 2271317331
BaseRepresentation
bin111110100000011100100
310212001122022
413310003210
51011020403
6111522312
723260340
oct7640344
93761568
102048228
111179956
12829398
13569390
143b4620
152a6d38
hex1f40e4

2048228 has 48 divisors (see below), whose sum is σ = 4685184. Its totient is φ = 760320.

The previous prime is 2048203. The next prime is 2048231. The reversal of 2048228 is 8228402.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2048197 and 2048206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6023 + ... + 6353.

It is an arithmetic number, because the mean of its divisors is an integer number (97608).

22048228 is an apocalyptic number.

2048228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342592).

2048228 is an abundant number, since it is smaller than the sum of its proper divisors (2636956).

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

2048228 is a wasteful number, since it uses less digits than its factorization.

2048228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2048228 is about 1431.1631633046. The cubic root of 2048228 is about 126.9967965795.

The spelling of 2048228 in words is "two million, forty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 331 364 442 476 662 884 1324 1547 2317 3094 4303 4634 5627 6188 8606 9268 11254 17212 22508 30121 39389 60242 73151 78778 120484 146302 157556 292604 512057 1024114 2048228