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42224004 = 2234194
BaseRepresentation
bin1010000100010…
…0100110000100
32221110012110000
42201010212010
541302132004
64105001300
71021620024
oct241044604
987405400
1042224004
112191a579
1212183230
138994c24
145871a84
153a90c39
hex2844984

42224004 has 75 divisors (see below), whose sum is σ = 116514167. Its totient is φ = 13333896.

The previous prime is 42223997. The next prime is 42224033. The reversal of 42224004 is 40042224.

The square root of 42224004 is 6498.

It is a perfect power (a square), and thus also a powerful number.

42224004 is a `hidden beast` number, since 422 + 240 + 0 + 4 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=57.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2222307 + ... + 2222325.

Almost surely, 242224004 is an apocalyptic number.

42224004 is the 6498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224004

42224004 is an abundant number, since it is smaller than the sum of its proper divisors (74290163).

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

42224004 is an frugal number, since it uses more digits than its factorization.

42224004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The cubic root of 42224004 is about 348.2195404245.

Adding to 42224004 its reverse (40042224), we get a palindrome (82266228).

The spelling of 42224004 in words is "forty-two million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 3078 3249 4332 6156 6498 6859 9747 12996 13718 19494 20577 27436 29241 38988 41154 58482 61731 82308 116964 123462 130321 185193 246924 260642 370386 390963 521284 555579 740772 781926 1111158 1172889 1563852 2222316 2345778 3518667 4691556 7037334 10556001 14074668 21112002 42224004