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20222130442000 = 245337273272033
BaseRepresentation
bin1001001100100010101001…
…11001101100111100010000
32122121012212001002010102011
410212101110321230330100
510122304410343121000
6111001530220232304
74155000146435644
oct446212471547420
978535761063364
1020222130442000
116497180498923
12232722669b694
13b38c284968b6
144dca83556c24
152510561032ba
hex126454e6cf10

20222130442000 has 80 divisors (see below), whose sum is σ = 50218655144112. Its totient is φ = 7870234521600.

The previous prime is 20222130441971. The next prime is 20222130442027. The reversal of 20222130442000 is 24403122202.

It can be written as a sum of positive squares in 8 ways, for example, as 1457708510736 + 18764421931264 = 1207356^2 + 4331792^2 .

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

It is a super-2 number, since 2×202221304420002 (a number of 27 digits) contains 22 as substring.

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, 136562017 + ... + 136710016.

Almost surely, 220222130442000 is an apocalyptic number.

20222130442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222130442000 is an abundant number, since it is smaller than the sum of its proper divisors (29996524702112).

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

20222130442000 is a wasteful number, since it uses less digits than its factorization.

20222130442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273272093 (or 273272077 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20222130442000 its reverse (24403122202), we get a palindrome (20246533564202).

The spelling of 20222130442000 in words is "twenty trillion, two hundred twenty-two billion, one hundred thirty million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 273272033 546544066 1093088132 1366360165 2186176264 2732720330 4372352528 5465440660 6831800825 10111065221 10930881320 13663601650 20222130442 21861762640 27327203300 34159004125 40444260884 50555326105 54654406600 68318008250 80888521768 101110652210 109308813200 136636016500 161777043536 202221304420 252776630525 273272033000 404442608840 505553261050 546544066000 808885217680 1011106522100 1263883152625 2022213044200 2527766305250 4044426088400 5055532610500 10111065221000 20222130442000