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4223010103224 = 233112472658309
BaseRepresentation
bin111101011100111111000…
…001000101111110111000
3112221201022211112202000220
4331130333001011332320
51023142211041300344
612552005110300040
7614050061416143
oct75347701057670
915851284482026
104223010103224
111388a72122a00
12582545657620
132482c73035b3
141085753bd05a
1574cb4587c19
hex3d73f045fb8

4223010103224 has 144 divisors (see below), whose sum is σ = 11856729246600. Its totient is φ = 1252470468480.

The previous prime is 4223010103219. The next prime is 4223010103303.

It is a happy number.

4223010103224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4223010103194 and 4223010103203.

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, 6085782 + ... + 6744090.

Almost surely, 24223010103224 is an apocalyptic number.

4223010103224 is a gapful number since it is divisible by the number (44) 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 4223010103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928364623300).

4223010103224 is an abundant number, since it is smaller than the sum of its proper divisors (7633719143376).

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

4223010103224 is a wasteful number, since it uses less digits than its factorization.

4223010103224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658434 (or 658372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 4223010 and 103224, that added together give a palindrome (4326234).

The spelling of 4223010103224 in words is "four trillion, two hundred twenty-three billion, ten million, one hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 121 132 141 188 242 264 282 363 376 484 517 564 726 968 1034 1128 1452 1551 2068 2209 2904 3102 4136 4418 5687 6204 6627 8836 11374 12408 13254 17061 17672 22748 24299 26508 34122 45496 48598 53016 68244 72897 97196 136488 145794 194392 267289 291588 534578 583176 658309 801867 1069156 1316618 1603734 1974927 2138312 2633236 3207468 3949854 5266472 6414936 7241399 7899708 14482798 15799416 21724197 28965596 30940523 43448394 57931192 61881046 79655389 86896788 92821569 123762092 159310778 173793576 185643138 238966167 247524184 318621556 340345753 371286276 477932334 637243112 680691506 742572552 955864668 1021037259 1361383012 1454204581 1911729336 2042074518 2722766024 2908409162 3743803283 4084149036 4362613743 5816818324 7487606566 8168298072 8725227486 11231409849 11633636648 14975213132 15996250391 17450454972 22462819698 29950426264 31992500782 34900909944 44925639396 47988751173 63985001564 89851278792 95977502346 127970003128 175958754301 191955004692 351917508602 383910009384 527876262903 703835017204 1055752525806 1407670034408 2111505051612 4223010103224