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122747220 = 223251921889
BaseRepresentation
bin1110101000011…
…11100101010100
322112222012112100
413110033211110
5222410402340
620102522100
73020222421
oct724174524
9275865470
10122747220
1163318892
1235136330
131c5794bb
1412432d48
15ab99830
hex750f954

122747220 has 108 divisors (see below), whose sum is σ = 393169140. Its totient is φ = 30993408.

The previous prime is 122747173. The next prime is 122747231. The reversal of 122747220 is 22747221.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 71166096 = 7182^2 + 8436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64036 + ... + 65924.

It is an arithmetic number, because the mean of its divisors is an integer number (3640455).

Almost surely, 2122747220 is an apocalyptic number.

122747220 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 122747220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196584570).

122747220 is an abundant number, since it is smaller than the sum of its proper divisors (270421920).

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

122747220 is a wasteful number, since it uses less digits than its factorization.

122747220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 122747220 is about 11079.1344427261. The cubic root of 122747220 is about 496.9780659580.

Subtracting from 122747220 its reverse (22747221), we obtain a palindrome (99999999).

The spelling of 122747220 in words is "one hundred twenty-two million, seven hundred forty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1710 1805 1889 2166 3249 3420 3610 3778 4332 5415 5667 6498 7220 7556 9445 10830 11334 12996 16245 17001 18890 21660 22668 28335 32490 34002 35891 37780 56670 64980 68004 71782 85005 107673 113340 143564 170010 179455 215346 323019 340020 358910 430692 538365 646038 681929 717820 1076730 1292076 1363858 1615095 2045787 2153460 2727716 3230190 3409645 4091574 6137361 6460380 6819290 8183148 10228935 12274722 13638580 20457870 24549444 30686805 40915740 61373610 122747220