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2002244020 = 22571734171
BaseRepresentation
bin111011101010111…
…1101000110110100
312011112120112102221
41313111331012310
513100033302040
6530403012124
7100421536060
oct16725750664
95145515387
102002244020
1193823a627
1247a66a044
1325ba8189a
1414dcc0aa0
15baba774a
hex7757d1b4

2002244020 has 192 divisors, whose sum is σ = 5303854080. Its totient is φ = 621465600.

The previous prime is 2002244009. The next prime is 2002244021. The reversal of 2002244020 is 204422002.

It is a super-2 number, since 2×20022440202 = 8017962231251520800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002243985 and 2002244003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002244021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28200585 + ... + 28200655.

It is an arithmetic number, because the mean of its divisors is an integer number (27624240).

Almost surely, 22002244020 is an apocalyptic number.

2002244020 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 2002244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651927040).

2002244020 is an abundant number, since it is smaller than the sum of its proper divisors (3301610060).

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

2002244020 is a wasteful number, since it uses less digits than its factorization.

2002244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2002244020 is about 44746.4414227545. The cubic root of 2002244020 is about 1260.3920884412.

Adding to 2002244020 its reverse (204422002), we get a palindrome (2206666022).

The spelling of 2002244020 in words is "two billion, two million, two hundred forty-four thousand, twenty".