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2152202200040 = 235534214335569
BaseRepresentation
bin11111010100011001001…
…111110110001111101000
321121202012200010201101002
4133110121033312033220
5240230202230400130
64324412534214132
7311330401600424
oct37243117661750
97552180121332
102152202200040
1175a820041472
122a91401b4348
13127c4b135679
147624a8d1b84
153aeb50b0b45
hex1f5193f63e8

2152202200040 has 128 divisors (see below), whose sum is σ = 4957852989600. Its totient is φ = 840534589440.

The previous prime is 2152202200013. The next prime is 2152202200061. The reversal of 2152202200040 is 400022022512.

It can be written as a sum of positive squares in 16 ways, for example, as 209183657956 + 1943018542084 = 457366^2 + 1393922^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2152202199985 and 2152202200021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386458376 + ... + 386463944.

Almost surely, 22152202200040 is an apocalyptic number.

2152202200040 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 2152202200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478926494800).

2152202200040 is an abundant number, since it is smaller than the sum of its proper divisors (2805650789560).

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

2152202200040 is a wasteful number, since it uses less digits than its factorization.

2152202200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2152202200040 its reverse (400022022512), we get a palindrome (2552224222552).

The spelling of 2152202200040 in words is "two trillion, one hundred fifty-two billion, two hundred two million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 421 424 433 530 842 866 1060 1684 1732 2105 2120 2165 3368 3464 4210 4330 5569 8420 8660 11138 16840 17320 22276 22313 22949 27845 44552 44626 45898 55690 89252 91796 111380 111565 114745 178504 182293 183592 222760 223130 229490 295157 364586 446260 458980 590314 729172 892520 911465 917960 1180628 1458344 1475785 1822930 2344549 2361256 2411377 2951570 3645860 4689098 4822754 5903140 7291720 9378196 9645508 9661529 11722745 11806280 12056885 18756392 19291016 19323058 23445490 24113770 38646116 46890980 48227540 48307645 77292232 93781960 96455080 96615290 124261097 127802981 193230580 248522194 255605962 386461160 497044388 511211924 621305485 639014905 994088776 1015189717 1022423848 1242610970 1278029810 2030379434 2485221940 2556059620 4060758868 4970443880 5075948585 5112119240 8121517736 10151897170 20303794340 40607588680 53805055001 107610110002 215220220004 269025275005 430440440008 538050550010 1076101100020 2152202200040