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2225412541044 = 22327113161424547
BaseRepresentation
bin100000011000100100111…
…011001000101001110100
321212202011211022101012100
4200120210323020221310
5242430121102303134
64422201310022100
7316531540330020
oct40304473105164
97782154271170
102225412541044
117888793aa220
122bb3721a7930
13131b176cc684
14799d3a25380
153cd4c463999
hex20624ec8a74

2225412541044 has 288 divisors, whose sum is σ = 7358361034752. Its totient is φ = 550211616000.

The previous prime is 2225412541039. The next prime is 2225412541061. The reversal of 2225412541044 is 4401452145222.

2225412541044 is a `hidden beast` number, since 2 + 2 + 2 + 541 + 2 + 5 + 4 + 104 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5029579 + ... + 5454125.

It is an arithmetic number, because the mean of its divisors is an integer number (25549864704).

Almost surely, 22225412541044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225412541044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679180517376).

2225412541044 is an abundant number, since it is smaller than the sum of its proper divisors (5132948493708).

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

2225412541044 is a wasteful number, since it uses less digits than its factorization.

2225412541044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424667 (or 424662 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 2225412541044 its reverse (4401452145222), we get a palindrome (6626864686266).

The spelling of 2225412541044 in words is "two trillion, two hundred twenty-five billion, four hundred twelve million, five hundred forty-one thousand, forty-four".