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2243223213240 = 2335941102119457
BaseRepresentation
bin100000101001001010100…
…001011101010010111000
321221110011002020021022010
4200221022201131102320
5243223110120310430
64434304510325520
7321032106464022
oct40511241352270
97843132207263
102243223213240
11795389028919
12302902ab98a0
131336c5641469
147a80324b012
153d540dbecb0
hex20a4a85d4b8

2243223213240 has 128 divisors (see below), whose sum is σ = 6743766093120. Its totient is φ = 596941209600.

The previous prime is 2243223213233. The next prime is 2243223213241. The reversal of 2243223213240 is 423123223422.

It is a super-2 number, since 2×22432232132402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2243223213198 and 2243223213207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243223213241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115281592 + ... + 115301048.

Almost surely, 22243223213240 is an apocalyptic number.

2243223213240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243223213240 is an abundant number, since it is smaller than the sum of its proper divisors (4500542879880).

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

2243223213240 is a wasteful number, since it uses less digits than its factorization.

2243223213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21433 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2243223213240 its reverse (423123223422), we get a palindrome (2666346436662).

The spelling of 2243223213240 in words is "two trillion, two hundred forty-three billion, two hundred twenty-three million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 941 1021 1882 2042 2823 3063 3764 4084 4705 5105 5646 6126 7528 8168 9410 10210 11292 12252 14115 15315 18820 19457 20420 22584 24504 28230 30630 37640 38914 40840 56460 58371 61260 77828 97285 112920 116742 122520 155656 194570 233484 291855 389140 466968 583710 778280 960761 1167420 1921522 2334840 2882283 3843044 4803805 5764566 7686088 9607610 11529132 14411415 18309037 19215220 19865597 23058264 28822830 36618074 38430440 39731194 54927111 57645660 59596791 73236148 79462388 91545185 99327985 109854222 115291320 119193582 146472296 158924776 183090370 198655970 219708444 238387164 274635555 297983955 366180740 397311940 439416888 476774328 549271110 595967910 732361480 794623880 1098542220 1191935820 2197084440 2383871640 18693526777 37387053554 56080580331 74774107108 93467633885 112161160662 149548214216 186935267770 224322321324 280402901655 373870535540 448644642648 560805803310 747741071080 1121611606620 2243223213240