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2225936412 = 223271719232941
BaseRepresentation
bin1000010010101101…
…0001100000011100
312202010111021201100
42010223101200130
514024314431122
61004513313100
7106106101350
oct20453214034
95663437640
102225936412
11a42534a77
12521565790
13296212b4b
141718ad460
15d0641aac
hex84ad181c

2225936412 has 576 divisors, whose sum is σ = 7925299200. Its totient is φ = 510935040.

The previous prime is 2225936387. The next prime is 2225936437. The reversal of 2225936412 is 2146395222.

2225936412 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 9 + 3 + 641 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2225936387) and next prime (2225936437).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54291112 + ... + 54291152.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 22225936412 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 2225936412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2225936412 is an abundant number, since it is smaller than the sum of its proper divisors (5699362788).

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

2225936412 is a wasteful number, since it uses less digits than its factorization.

2225936412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2225936412 is about 47179.8305634940. The cubic root of 2225936412 is about 1305.6825037860.

The spelling of 2225936412 in words is "two billion, two hundred twenty-five million, nine hundred thirty-six thousand, four hundred twelve".