Search a number
-
+
2211925446192 = 24371129374711867
BaseRepresentation
bin100000001100000001000…
…001111100111000110000
321211110100212221222012210
4200030001001330320300
5242220010403234232
64412051114452120
7315543401034540
oct40140101747060
97743325858183
102211925446192
11783088282240
122b8829434040
13130778443887
14790b4703320
153c80d3975cc
hex2030107ce30

2211925446192 has 640 divisors, whose sum is σ = 7730659491840. Its totient is φ = 528194580480.

The previous prime is 2211925446191. The next prime is 2211925446217. The reversal of 2211925446192 is 2916445291122.

It is a super-2 number, since 2×22119254461922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2211925446191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186387043 + ... + 186398909.

It is an arithmetic number, because the mean of its divisors is an integer number (12079155456).

Almost surely, 22211925446192 is an apocalyptic number.

2211925446192 is a gapful number since it is divisible by the number (22) 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 2211925446192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865329745920).

2211925446192 is an abundant number, since it is smaller than the sum of its proper divisors (5518734045648).

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

2211925446192 is a wasteful number, since it uses less digits than its factorization.

2211925446192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 12003 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 2211925446192 in words is "two trillion, two hundred eleven billion, nine hundred twenty-five million, four hundred forty-six thousand, one hundred ninety-two".