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122230003220 = 2251315117917393
BaseRepresentation
bin111000111010101111…
…0011101011000010100
3102200111102022111211022
41301311132131120110
54000311340100340
6132052433100312
711554654612343
oct1616536353024
9380442274738
10122230003220
1147923717596
121b8326b7698
13b6ac1c22c0
145cb7593b5a
1532a5b4c3b5
hex1c7579d614

122230003220 has 96 divisors (see below), whose sum is σ = 279829105920. Its totient is φ = 44579174400.

The previous prime is 122230003219. The next prime is 122230003267. The reversal of 122230003220 is 22300032221.

It is a super-2 number, since 2×1222300032202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 7018844 + ... + 7036236.

It is an arithmetic number, because the mean of its divisors is an integer number (2914886520).

Almost surely, 2122230003220 is an apocalyptic number.

122230003220 is a gapful number since it is divisible by the number (10) 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 122230003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139914552960).

122230003220 is an abundant number, since it is smaller than the sum of its proper divisors (157599102700).

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

122230003220 is a wasteful number, since it uses less digits than its factorization.

122230003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17745 (or 17743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 122230003220 its reverse (22300032221), we get a palindrome (144530035441).

The spelling of 122230003220 in words is "one hundred twenty-two billion, two hundred thirty million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 179 260 302 358 604 716 755 895 1510 1790 1963 2327 3020 3580 3926 4654 7852 9308 9815 11635 17393 19630 23270 27029 34786 39260 46540 54058 69572 86965 108116 135145 173930 226109 270290 347860 351377 452218 540580 702754 904436 1130545 1405508 1756885 2261090 2626343 3113347 3513770 4522180 5252686 6226694 7027540 10505372 12453388 13131715 15566735 26263430 31133470 34142459 40473511 52526860 62266940 68284918 80947022 136569836 161894044 170712295 202367555 341424590 404735110 470115397 682849180 809470220 940230794 1880461588 2350576985 4701153970 6111500161 9402307940 12223000322 24446000644 30557500805 61115001610 122230003220