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1222008480 = 25325711103107
BaseRepresentation
bin100100011010110…
…0101111010100000
310011011102110111100
41020311211322200
510000313232410
6321131514400
742165620640
oct11065457240
93134373440
101222008480
11577879070
122a12b8a00
1316622bb54
14b841c520
15724368c0
hex48d65ea0

1222008480 has 576 divisors, whose sum is σ = 5298628608. Its totient is φ = 249108480.

The previous prime is 1222008461. The next prime is 1222008481. The reversal of 1222008480 is 848002221.

It is not an unprimeable number, because it can be changed into a prime (1222008481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11420587 + ... + 11420693.

It is an arithmetic number, because the mean of its divisors is an integer number (9199008).

Almost surely, 21222008480 is an apocalyptic number.

1222008480 is a gapful number since it is divisible by the number (10) 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 1222008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649314304).

1222008480 is an abundant number, since it is smaller than the sum of its proper divisors (4076620128).

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

1222008480 is a wasteful number, since it uses less digits than its factorization.

1222008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1222008480 is about 34957.2378771550. The cubic root of 1222008480 is about 1069.1157804091.

The spelling of 1222008480 in words is "one billion, two hundred twenty-two million, eight thousand, four hundred eighty".