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1210004224 = 28111333053
BaseRepresentation
bin100100000011111…
…0011001100000000
310010022211120202021
41020013303030000
54434230113344
6320022331224
741661603052
oct11007631400
93108746667
101210004224
1157101a0a0
12299289b14
131638b7c40
14b69b58d2
1571364b84
hex481f3300

1210004224 has 72 divisors (see below), whose sum is σ = 2837619792. Its totient is φ = 507678720.

The previous prime is 1210004221. The next prime is 1210004231. The reversal of 1210004224 is 4224000121.

It is a super-2 number, since 2×12100042242 = 2928220444195684352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1210004198 and 1210004207.

It is not an unprimeable number, because it can be changed into a prime (1210004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20082 + ... + 53134.

It is an arithmetic number, because the mean of its divisors is an integer number (39411386).

Almost surely, 21210004224 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 1210004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418809896).

1210004224 is an abundant number, since it is smaller than the sum of its proper divisors (1627615568).

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

1210004224 is a wasteful number, since it uses less digits than its factorization.

1210004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33093 (or 33079 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1210004224 is about 34785.1149775303. The cubic root of 1210004224 is about 1065.6034767387.

Adding to 1210004224 its reverse (4224000121), we get a palindrome (5434004345).

The spelling of 1210004224 in words is "one billion, two hundred ten million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 4576 9152 18304 33053 36608 66106 132212 264424 363583 429689 528848 727166 859378 1057696 1454332 1718756 2115392 2908664 3437512 4230784 4726579 5817328 6875024 8461568 9453158 11634656 13750048 18906316 23269312 27500096 37812632 46538624 55000192 75625264 93077248 110000384 151250528 302501056 605002112 1210004224