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223021122030 = 232572239211597
BaseRepresentation
bin1100111110110100011…
…0000100000111101110
3210022122201120212001200
43033231012010013232
512123221401401110
6250242100350330
722053446154600
oct3175506040756
9708581525050
10223021122030
1186645677993
12372813a53a6
1318052895385
14ab1970b170
155c045576c0
hex33ed1841ee

223021122030 has 144 divisors (see below), whose sum is σ = 677350589760. Its totient is φ = 50762726784.

The previous prime is 223021122017. The next prime is 223021122031. The reversal of 223021122030 is 30221120322.

223021122030 is a `hidden beast` number, since 2 + 230 + 211 + 220 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223021121994 and 223021122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223021122031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 948192 + ... + 1159788.

It is an arithmetic number, because the mean of its divisors is an integer number (4703823540).

Almost surely, 2223021122030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223021122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338675294880).

223021122030 is an abundant number, since it is smaller than the sum of its proper divisors (454329467730).

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

223021122030 is a wasteful number, since it uses less digits than its factorization.

223021122030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211863 (or 211853 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223021122030 its reverse (30221120322), we get a palindrome (253242242352).

The spelling of 223021122030 in words is "two hundred twenty-three billion, twenty-one million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 239 245 294 315 441 478 490 630 717 735 882 1195 1434 1470 1673 2151 2205 2390 3346 3585 4302 4410 5019 7170 8365 10038 10755 11711 15057 16730 21510 23422 25095 30114 35133 50190 58555 70266 75285 105399 117110 150570 175665 210798 211597 351330 423194 526995 634791 1053990 1057985 1269582 1481179 1904373 2115970 2962358 3173955 3808746 4443537 6347910 7405895 8887074 9521865 10368253 13330611 14811790 19043730 20736506 22217685 26661222 31104759 44435370 50571683 51841265 62209518 66653055 93314277 101143366 103682530 133306110 151715049 155523795 186628554 252858415 303430098 311047590 354001781 455145147 466571385 505716830 708003562 758575245 910290294 933142770 1062005343 1517150490 1770008905 2124010686 2275725735 2478012467 3186016029 3540017810 4551451470 4956024934 5310026715 6372032058 7434037401 10620053430 12390062335 14868074802 15930080145 22302112203 24780124670 31860160290 37170187005 44604224406 74340374010 111510561015 223021122030