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213242222040 = 23351726148853
BaseRepresentation
bin1100011010011000111…
…0100001010111011000
3202101102012212021010120
43012212032201113120
511443210002101130
6241543452513240
721256224660231
oct3064616412730
9671365767116
10213242222040
1182487747661
12353b247b820
131715493c213
14a46caa0088
155830cc0910
hex31a63a15d8

213242222040 has 96 divisors (see below), whose sum is σ = 679571344080. Its totient is φ = 53519607808.

The previous prime is 213242222027. The next prime is 213242222051. The reversal of 213242222040 is 40222242312.

213242222040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213242222040.

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, 3039747 + ... + 3109106.

Almost surely, 2213242222040 is an apocalyptic number.

213242222040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213242222040 is an abundant number, since it is smaller than the sum of its proper divisors (466329122040).

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

213242222040 is a wasteful number, since it uses less digits than its factorization.

213242222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148901 (or 6148880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 213242222040 its reverse (40222242312), we get a palindrome (253464464352).

The spelling of 213242222040 in words is "two hundred thirteen billion, two hundred forty-two million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 6148853 12297706 18446559 24595412 30744265 36893118 49190824 61488530 73786236 92232795 104530501 122977060 147572472 184465590 209061002 245954120 313591503 368931180 418122004 522652505 627183006 737862360 836244008 1045305010 1254366012 1567957515 1777018517 2090610020 2508732024 3135915030 3554037034 4181220040 5331055551 6271830060 7108074068 8885092585 10662111102 12543660120 14216148136 17770185170 21324222204 26655277755 35540370340 42648444408 53310555510 71080740680 106621111020 213242222040