Search a number
-
+
2048725224 = 233571337313
BaseRepresentation
bin111101000011101…
…0001000011101000
312021210001000200000
41322013101003220
513143433201344
6535143143000
7101524606560
oct17207210350
95253030600
102048725224
119614a7647
12492144a60
132685a7460
1415613dda0
15becd9a69
hex7a1d10e8

2048725224 has 384 divisors, whose sum is σ = 7296656640. Its totient is φ = 524040192.

The previous prime is 2048725193. The next prime is 2048725243. The reversal of 2048725224 is 4225278402.

2048725224 is a `hidden beast` number, since 20 + 48 + 72 + 522 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6545292 + ... + 6545604.

It is an arithmetic number, because the mean of its divisors is an integer number (19001710).

Almost surely, 22048725224 is an apocalyptic number.

2048725224 is a gapful number since it is divisible by the number (24) 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 2048725224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648328320).

2048725224 is an abundant number, since it is smaller than the sum of its proper divisors (5247931416).

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

2048725224 is a wasteful number, since it uses less digits than its factorization.

2048725224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2048725224 is about 45262.8459555959. The cubic root of 2048725224 is about 1270.0707224964.

The spelling of 2048725224 in words is "two billion, forty-eight million, seven hundred twenty-five thousand, two hundred twenty-four".