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223142004 = 2232191132887
BaseRepresentation
bin11010100110011…
…10000001110100
3120112212210021200
431103032001310
5424111021004
634050412500
75346450531
oct1523160164
9515783250
10223142004
11104a59988
1262891130
13372ca8b7
14218c7d88
15148cb239
hexd4ce074

223142004 has 72 divisors (see below), whose sum is σ = 599202240. Its totient is φ = 69818112.

The previous prime is 223141993. The next prime is 223142011. The reversal of 223142004 is 400241322.

It is a super-3 number, since 3×2231420043 (a number of 26 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 75849 + ... + 78735.

Almost surely, 2223142004 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 223142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299601120).

223142004 is an abundant number, since it is smaller than the sum of its proper divisors (376060236).

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

223142004 is a wasteful number, since it uses less digits than its factorization.

223142004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223142004 is about 14937.9384119764. The cubic root of 223142004 is about 606.5413911649.

Adding to 223142004 its reverse (400241322), we get a palindrome (623383326).

The spelling of 223142004 in words is "two hundred twenty-three million, one hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 2887 4068 4294 5774 6441 8588 8661 11548 12882 17322 19323 25764 25983 34644 38646 51966 54853 77292 103932 109706 164559 219412 326231 329118 493677 652462 658236 978693 987354 1304924 1957386 1974708 2936079 3914772 5872158 6198389 11744316 12396778 18595167 24793556 37190334 55785501 74380668 111571002 223142004