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122023222230 = 235713244118311
BaseRepresentation
bin111000110100100100…
…1101001101111010110
3102122222000012221122010
41301221021221233112
53444400421102410
6132020125045050
711546564163330
oct1615111515726
9378860187563
10122023222230
1147827a22a08
121b7953b6786
13b6784026a0
145c97d28450
153292903c20
hex1c69269bd6

122023222230 has 128 divisors (see below), whose sum is σ = 360605177856. Its totient is φ = 25733606400.

The previous prime is 122023222219. The next prime is 122023222253. The reversal of 122023222230 is 32222320221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122023222197 and 122023222206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6654775 + ... + 6673085.

It is an arithmetic number, because the mean of its divisors is an integer number (2817227952).

Almost surely, 2122023222230 is an apocalyptic number.

122023222230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122023222230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180302588928).

122023222230 is an abundant number, since it is smaller than the sum of its proper divisors (238581955626).

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

122023222230 is a wasteful number, since it uses less digits than its factorization.

122023222230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20782.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 122023222230 its reverse (32222320221), we get a palindrome (154245542451).

The spelling of 122023222230 in words is "one hundred twenty-two billion, twenty-three million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2441 2730 4882 7323 12205 14646 17087 18311 24410 31733 34174 36615 36622 51261 54933 63466 73230 85435 91555 95199 102522 109866 128177 158665 170870 183110 190398 222131 238043 256305 256354 274665 317330 384531 444262 475995 476086 512610 549330 640885 666393 714129 769062 951990 1110655 1190215 1281770 1332786 1428258 1666301 1922655 2221310 2380430 3331965 3332602 3570645 3845310 4998903 6663930 7141290 8331505 9997806 16663010 24994515 44697151 49989030 89394302 134091453 223485755 268182906 312880057 446971510 581062963 625760114 670457265 938640171 1162125926 1340914530 1564400285 1743188889 1877280342 2905314815 3128800570 3486377778 4067440741 4693200855 5810629630 8134881482 8715944445 9386401710 12202322223 17431888890 20337203705 24404644446 40674407410 61011611115 122023222230