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110004224 = 2111119257
BaseRepresentation
bin1101000111010…
…00100000000000
321122222210102112
412203220200000
5211130113344
614525434452
72504010011
oct643504000
9248883375
10110004224
1157104890
1230a0ba28
1319a37275
1410877008
1599cdc9e
hex68e8800

110004224 has 96 divisors (see below), whose sum is σ = 253562400. Its totient is φ = 47185920.

The previous prime is 110004197. The next prime is 110004233. The reversal of 110004224 is 422400011.

It is a junction number, because it is equal to n+sod(n) for n = 110004199 and 110004208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427904 + ... + 428160.

It is an arithmetic number, because the mean of its divisors is an integer number (2641275).

Almost surely, 2110004224 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 110004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781200).

110004224 is an abundant number, since it is smaller than the sum of its proper divisors (143558176).

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

110004224 is a wasteful number, since it uses less digits than its factorization.

110004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 110004224 is about 10488.2898510672. The cubic root of 110004224 is about 479.1481186452.

Adding to 110004224 its reverse (422400011), we get a palindrome (532404235).

The spelling of 110004224 in words is "one hundred ten million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 257 304 352 418 512 514 608 704 836 1024 1028 1216 1408 1672 2048 2056 2432 2816 2827 3344 4112 4864 4883 5632 5654 6688 8224 9728 9766 11264 11308 13376 16448 19456 19532 22528 22616 26752 32896 38912 39064 45232 53504 53713 65792 78128 90464 107008 107426 131584 156256 180928 214016 214852 263168 312512 361856 428032 429704 526336 625024 723712 859408 1250048 1447424 1718816 2500096 2894848 3437632 5000192 5789696 6875264 10000384 13750528 27501056 55002112 110004224