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430223420 = 2251117373109
BaseRepresentation
bin11001101001001…
…011000000111100
31002222112121120202
4121221023000330
51340114122140
6110405103032
713442560454
oct3151130074
91088477522
10430223420
11200939250
121000b7a78
136b194193
14411d0d64
1527b83915
hex19a4b03c

430223420 has 96 divisors (see below), whose sum is σ = 1072128960. Its totient is φ = 143216640.

The previous prime is 430223413. The next prime is 430223447. The reversal of 430223420 is 24322034.

It is a super-2 number, since 2×4302234202 = 370184382232992800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 430223392 and 430223401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136826 + ... + 139934.

It is an arithmetic number, because the mean of its divisors is an integer number (11168010).

Almost surely, 2430223420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536064480).

430223420 is an abundant number, since it is smaller than the sum of its proper divisors (641905540).

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

430223420 is a wasteful number, since it uses less digits than its factorization.

430223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 430223420 is about 20741.8277883122. The cubic root of 430223420 is about 754.9149327428.

Adding to 430223420 its reverse (24322034), we get a palindrome (454545454).

The spelling of 430223420 in words is "four hundred thirty million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 37 44 55 68 74 85 110 148 170 185 187 220 340 370 374 407 629 740 748 814 935 1258 1628 1870 2035 2516 3109 3145 3740 4070 6218 6290 6919 8140 12436 12580 13838 15545 27676 31090 34199 34595 52853 62180 68398 69190 105706 115033 136796 138380 170995 211412 230066 264265 341990 460132 528530 575165 581383 683980 1057060 1150330 1162766 1265363 1955561 2300660 2325532 2530726 2906915 3911122 5061452 5813830 6326815 7822244 9777805 11627660 12653630 19555610 21511171 25307260 39111220 43022342 86044684 107555855 215111710 430223420