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2147996448 = 253313312199
BaseRepresentation
bin1000000000000111…
…1101001100100000
312112200211112012000
42000001331030200
513344341341243
6553051004000
7104141445213
oct20001751440
95480745160
102147996448
11a02540584
124bb439600
13283024320
141653c177a
15c88985d3
hex8007d320

2147996448 has 288 divisors, whose sum is σ = 7006608000. Its totient is φ = 636387840.

The previous prime is 2147996423. The next prime is 2147996449. The reversal of 2147996448 is 8446997412.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21479964482 = 9227777481241233408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2147996394 and 2147996403.

It is not an unprimeable number, because it can be changed into a prime (2147996449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10793853 + ... + 10794051.

It is an arithmetic number, because the mean of its divisors is an integer number (24328500).

Almost surely, 22147996448 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 2147996448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503304000).

2147996448 is an abundant number, since it is smaller than the sum of its proper divisors (4858611552).

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

2147996448 is a wasteful number, since it uses less digits than its factorization.

2147996448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 248 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2147996448 is about 46346.4825849816. The cubic root of 2147996448 is about 1290.2618397642.

The spelling of 2147996448 in words is "two billion, one hundred forty-seven million, nine hundred ninety-six thousand, four hundred forty-eight".