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2228479274448 = 2434717293116073
BaseRepresentation
bin100000011011011011101…
…101110010110111010000
321220001002112220120120000
4200123123231302313100
5243002411143240243
64423425500450000
7320000536202520
oct40333355626720
97801075816500
102228479274448
1178a1024aa439
122bba89249900
131321b5b7a91b
1479c0503d680
153ce7b7da5d3
hex206dbb72dd0

2228479274448 has 800 divisors, whose sum is σ = 8334983669760. Its totient is φ = 559891906560.

The previous prime is 2228479274443. The next prime is 2228479274459. The reversal of 2228479274448 is 8444729748222.

2228479274448 is a `hidden beast` number, since 2 + 22 + 84 + 7 + 92 + 7 + 4 + 448 = 666.

It is a super-2 number, since 2×22284792744482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228479274443) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138639340 + ... + 138655412.

Almost surely, 22228479274448 is an apocalyptic number.

2228479274448 is a gapful number since it is divisible by the number (28) 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 2228479274448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167491834880).

2228479274448 is an abundant number, since it is smaller than the sum of its proper divisors (6106504395312).

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

2228479274448 is a wasteful number, since it uses less digits than its factorization.

2228479274448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16177 (or 16162 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 63.

The spelling of 2228479274448 in words is "two trillion, two hundred twenty-eight billion, four hundred seventy-nine million, two hundred seventy-four thousand, four hundred forty-eight".