Search a number
-
+
20222005440400 = 2452226722739811
BaseRepresentation
bin1001001100100010011010…
…11100110110111110010000
32122121012112022212101110021
410212101031130312332100
510122304131343043100
6111001505553113224
74154664101103541
oct446211534667620
978535468771407
1020222005440400
116497116980315
1223271b0858814
13b38c0860b25a
144dca70ad84c8
1525104a160a1a
hex12644d736f90

20222005440400 has 120 divisors (see below), whose sum is σ = 48631138595424. Its totient is φ = 8080853299200.

The previous prime is 20222005440397. The next prime is 20222005440419. The reversal of 20222005440400 is 404450022202.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2061151495 + ... + 2061161305.

Almost surely, 220222005440400 is an apocalyptic number.

20222005440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222005440400 is an abundant number, since it is smaller than the sum of its proper divisors (28409133155024).

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

20222005440400 is a wasteful number, since it uses less digits than its factorization.

20222005440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14369 (or 14358 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 20222005440400 its reverse (404450022202), we get a palindrome (20626455462602).

The spelling of 20222005440400 in words is "twenty trillion, two hundred twenty-two billion, five million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2267 2273 4534 4546 9068 9092 9811 11335 11365 18136 18184 19622 22670 22730 36272 36368 39244 45340 45460 49055 56675 56825 78488 90680 90920 98110 113350 113650 156976 181360 181840 196220 226700 227300 245275 392440 453400 454600 490550 784880 906800 909200 981100 1962200 3924400 5152891 10305782 20611564 22241537 22300403 25764455 41223128 44483074 44600806 51528910 82446256 88966148 89201612 103057820 111207685 111502015 128822275 177932296 178403224 206115640 222415370 223004030 257644550 355864592 356806448 412231280 444830740 446008060 515289100 556038425 557510075 889661480 892016120 1030578200 1112076850 1115020150 1779322960 1784032240 2061156400 2224153700 2230040300 4448307400 4460080600 8896614800 8920161200 50555013601 101110027202 202220054404 252775068005 404440108808 505550136010 808880217616 1011100272020 1263875340025 2022200544040 2527750680050 4044401088080 5055501360100 10111002720200 20222005440400