Search a number
-
+
2054422223040 = 263511550335353
BaseRepresentation
bin11101111001010101000…
…110110101100011000000
321021101211012212020011110
4131321111012311203000
5232124424042114130
64211442154043320
7301266332524245
oct35712506654300
97241735766143
102054422223040
11722303871520
122921b1a19540
1311b967548305
14716126415cc
1538690beaab0
hex1de551b58c0

2054422223040 has 224 divisors, whose sum is σ = 7117265903616. Its totient is φ = 497937162240.

The previous prime is 2054422223011. The next prime is 2054422223041. The reversal of 2054422223040 is 403222244502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2054422222989 and 2054422223007.

It is not an unprimeable number, because it can be changed into a prime (2054422223041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58094004 + ... + 58129356.

Almost surely, 22054422223040 is an apocalyptic number.

2054422223040 is a gapful number since it is divisible by the number (20) 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 2054422223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558632951808).

2054422223040 is an abundant number, since it is smaller than the sum of its proper divisors (5062843680576).

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

2054422223040 is a wasteful number, since it uses less digits than its factorization.

2054422223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40887 (or 40877 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 2054422223040 its reverse (403222244502), we get a palindrome (2457644467542).

The spelling of 2054422223040 in words is "two trillion, fifty-four billion, four hundred twenty-two million, two hundred twenty-three thousand, forty".