Search a number
-
+
2161221048 = 23337331941
BaseRepresentation
bin1000000011010001…
…1001110110111000
312120121201101221000
42000310121312320
513411233033143
6554242245000
7104362035000
oct20064316670
95517641830
102161221048
11a09a533a8
12503956760
132859a482c
14167065000
15c9b0bbd3
hex80d19db8

2161221048 has 256 divisors, whose sum is σ = 7234560000. Its totient is φ = 596937600.

The previous prime is 2161220977. The next prime is 2161221061. The reversal of 2161221048 is 8401221612.

2161221048 is a `hidden beast` number, since 2 + 1 + 612 + 2 + 1 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2296258 + ... + 2297198.

It is an arithmetic number, because the mean of its divisors is an integer number (28260000).

Almost surely, 22161221048 is an apocalyptic number.

2161221048 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 2161221048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617280000).

2161221048 is an abundant number, since it is smaller than the sum of its proper divisors (5073338952).

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

2161221048 is a wasteful number, since it uses less digits than its factorization.

2161221048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2161221048 is about 46488.9346834276. The cubic root of 2161221048 is about 1292.9043485209.

The spelling of 2161221048 in words is "two billion, one hundred sixty-one million, two hundred twenty-one thousand, forty-eight".