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2002220020440 = 2332526321147233
BaseRepresentation
bin11101001000101101100…
…111001111001011011000
321002102002011012120111100
4131020231213033023120
5230301021311123230
64131450203431400
7264440610236613
oct35105547171330
97072064176440
102002220020440
11702156005022
12284063525560
13116a68485533
146cc9d65d17a
1537137d51660
hex1d22d9cf2d8

2002220020440 has 96 divisors (see below), whose sum is σ = 6531957637920. Its totient is φ = 531895179264.

The previous prime is 2002220020433. The next prime is 2002220020523. The reversal of 2002220020440 is 440200222002.

2002220020440 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 200 + 20 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10478937 + ... + 10668296.

It is an arithmetic number, because the mean of its divisors is an integer number (68041225395).

Almost surely, 22002220020440 is an apocalyptic number.

2002220020440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002220020440 is an abundant number, since it is smaller than the sum of its proper divisors (4529737617480).

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

2002220020440 is a wasteful number, since it uses less digits than its factorization.

2002220020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21147513 (or 21147506 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2002220020440 its reverse (440200222002), we get a palindrome (2442420242442).

The spelling of 2002220020440 in words is "two trillion, two billion, two hundred twenty million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 263 360 526 789 1052 1315 1578 2104 2367 2630 3156 3945 4734 5260 6312 7890 9468 10520 11835 15780 18936 23670 31560 47340 94680 21147233 42294466 63441699 84588932 105736165 126883398 169177864 190325097 211472330 253766796 317208495 380650194 422944660 507533592 634416990 761300388 845889320 951625485 1268833980 1522600776 1903250970 2537667960 3806501940 5561722279 7613003880 11123444558 16685166837 22246889116 27808611395 33370333674 44493778232 50055500511 55617222790 66740667348 83425834185 100111001022 111234445580 133481334696 166851668370 200222002044 222468891160 250277502555 333703336740 400444004088 500555005110 667406673480 1001110010220 2002220020440