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2022204440240 = 245791019314003
BaseRepresentation
bin11101011011010100110…
…001101111111010110000
321011022122220102021201122
4131123110301233322300
5231112433314041430
64144553215121412
7266046053063315
oct35332461577260
97138586367648
102022204440240
1170a680762446
12287b00213268
131189018666ca
146dc3784ad0c
1537907540ee5
hex1d6d4c6feb0

2022204440240 has 80 divisors (see below), whose sum is σ = 4765827110400. Its totient is φ = 797856473856.

The previous prime is 2022204440177. The next prime is 2022204440287. The reversal of 2022204440240 is 420444022202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6283079 + ... + 6597081.

It is an arithmetic number, because the mean of its divisors is an integer number (59572838880).

Almost surely, 22022204440240 is an apocalyptic number.

2022204440240 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 2022204440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382913555200).

2022204440240 is an abundant number, since it is smaller than the sum of its proper divisors (2743622670160).

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

2022204440240 is a wasteful number, since it uses less digits than its factorization.

2022204440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315114 (or 315108 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 2022204440240 its reverse (420444022202), we get a palindrome (2442648462442).

The spelling of 2022204440240 in words is "two trillion, twenty-two billion, two hundred four million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1019 1264 1580 2038 3160 4076 5095 6320 8152 10190 16304 20380 40760 80501 81520 161002 314003 322004 402505 628006 644008 805010 1256012 1288016 1570015 1610020 2512024 3140030 3220040 5024048 6280060 6440080 12560120 24806237 25120240 49612474 99224948 124031185 198449896 248062370 319969057 396899792 496124740 639938114 992249480 1279876228 1599845285 1984498960 2559752456 3199690570 5119504912 6399381140 12798762280 25277555503 25597524560 50555111006 101110222012 126387777515 202220444024 252775555030 404440888048 505551110060 1011102220120 2022204440240