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2287221138972 = 2234731110131847
BaseRepresentation
bin100001010010001001000…
…000001110011000011100
322002122201101002110220000
4201102021000032120130
5244433212102421342
64510422422454300
7324150320622000
oct41221100163034
98078641073800
102287221138972
11802006783710
1230b341894390
131378b7a6a243
147c9b878c700
153e76886c44c
hex2148900e61c

2287221138972 has 480 divisors, whose sum is σ = 7618414003200. Its totient is φ = 593175623040.

The previous prime is 2287221138887. The next prime is 2287221138989. The reversal of 2287221138972 is 2798311227822.

It is a happy number.

2287221138972 is a `hidden beast` number, since 2 + 287 + 2 + 211 + 3 + 89 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1238342953 + ... + 1238344799.

It is an arithmetic number, because the mean of its divisors is an integer number (15871695840).

Almost surely, 22287221138972 is an apocalyptic number.

2287221138972 is a gapful number since it is divisible by the number (22) 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 2287221138972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809207001600).

2287221138972 is an abundant number, since it is smaller than the sum of its proper divisors (5331192864228).

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

2287221138972 is a wasteful number, since it uses less digits than its factorization.

2287221138972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2883 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 2287221138972 in words is "two trillion, two hundred eighty-seven billion, two hundred twenty-one million, one hundred thirty-eight thousand, nine hundred seventy-two".