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1998226000 = 24537912647
BaseRepresentation
bin111011100011010…
…1000001001010000
312011021000101202101
41313012220021100
513043021213000
6530140530144
7100342432531
oct16706501120
95137011671
101998226000
11935a45851
12479250954
1325aca5a64
1414d556688
15ba661e6a
hex771a8250

1998226000 has 80 divisors (see below), whose sum is σ = 4893258240. Its totient is φ = 789110400.

The previous prime is 1998225997. The next prime is 1998226003. The reversal of 1998226000 is 6228991.

It is an interprime number because it is at equal distance from previous prime (1998225997) and next prime (1998226003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998226003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151677 + ... + 164323.

It is an arithmetic number, because the mean of its divisors is an integer number (61165728).

Almost surely, 21998226000 is an apocalyptic number.

1998226000 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 1998226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446629120).

1998226000 is an abundant number, since it is smaller than the sum of its proper divisors (2895032240).

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

1998226000 is a wasteful number, since it uses less digits than its factorization.

1998226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1998226000 is about 44701.5212269113. The cubic root of 1998226000 is about 1259.5484230427.

The spelling of 1998226000 in words is "one billion, nine hundred ninety-eight million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1580 1975 2000 3160 3950 6320 7900 9875 12647 15800 19750 25294 31600 39500 50588 63235 79000 101176 126470 158000 202352 252940 316175 505880 632350 999113 1011760 1264700 1580875 1998226 2529400 3161750 3996452 4995565 5058800 6323500 7992904 9991130 12647000 15985808 19982260 24977825 25294000 39964520 49955650 79929040 99911300 124889125 199822600 249778250 399645200 499556500 999113000 1998226000