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2022002000000 = 27561011001
BaseRepresentation
bin11101011011001000101…
…101100000000010000000
321011022010210111020220222
4131123020231200002000
5231112030003000000
64144521144122212
7266041044263453
oct35331055400200
97138123436828
102022002000000
1170a587463064
12287a64466368
1311889b936798
146dc189d149a
15378e48a3a85
hex1d6c8b60080

2022002000000 has 112 divisors (see below), whose sum is σ = 5035199415810. Its totient is φ = 808800000000.

The previous prime is 2022001999987. The next prime is 2022002000009. The reversal of 2022002000000 is 2002202.

It can be written as a sum of positive squares in 7 ways, for example, as 894446845504 + 1127555154496 = 945752^2 + 1061864^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2022002000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1494500 + ... + 2505500.

Almost surely, 22022002000000 is an apocalyptic number.

2022002000000 is a gapful number since it is divisible by the number (20) 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 2022002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517599707905).

2022002000000 is an abundant number, since it is smaller than the sum of its proper divisors (3013197415810).

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

2022002000000 is an frugal number, since it uses more digits than its factorization.

2022002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011045 (or 1011008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 2022002000000 its reverse (2002202), we get a palindrome (2022004002202).

The spelling of 2022002000000 in words is "two trillion, twenty-two billion, two million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 1011001 2000000 2022002 4044004 5055005 8088008 10110010 16176016 20220020 25275025 32352032 40440040 50550050 64704064 80880080 101100100 126375125 129408128 161760160 202200200 252750250 323520320 404400400 505500500 631875625 647040640 808800800 1011001000 1263751250 1617601600 2022002000 2527502500 3159378125 3235203200 4044004000 5055005000 6318756250 8088008000 10110010000 12637512500 15796890625 16176016000 20220020000 25275025000 31593781250 40440040000 50550050000 63187562500 80880080000 101100100000 126375125000 202200200000 252750250000 404400400000 505500500000 1011001000000 2022002000000