Search a number
-
+
223134420 = 223537100511
BaseRepresentation
bin11010100110011…
…00001011010100
3120112212101212210
431103030023110
5424110300140
634050313420
75346416445
oct1523141324
9515771783
10223134420
11104a54213
1262888870
13372c7302
14218c52cc
15148c8d80
hexd4cc2d4

223134420 has 48 divisors (see below), whose sum is σ = 641668608. Its totient is φ = 57893760.

The previous prime is 223134409. The next prime is 223134421. The reversal of 223134420 is 24431322.

It is a super-3 number, since 3×2231344203 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223134421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48036 + ... + 52475.

It is an arithmetic number, because the mean of its divisors is an integer number (13368096).

Almost surely, 2223134420 is an apocalyptic number.

223134420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223134420 is an abundant number, since it is smaller than the sum of its proper divisors (418534188).

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

223134420 is a wasteful number, since it uses less digits than its factorization.

223134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100560 (or 100558 counting only the distinct ones).

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

The square root of 223134420 is about 14937.6845595293. The cubic root of 223134420 is about 606.5345195138.

Adding to 223134420 its reverse (24431322), we get a palindrome (247565742).

The spelling of 223134420 in words is "two hundred twenty-three million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 100511 201022 301533 402044 502555 603066 1005110 1206132 1507665 2010220 3015330 3718907 6030660 7437814 11156721 14875628 18594535 22313442 37189070 44626884 55783605 74378140 111567210 223134420