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224968078864 = 2428324192
BaseRepresentation
bin1101000110000100100…
…1000111011000010000
3210111200102010111202001
43101201021013120100
512141213312010424
6251203210403344
722152630055564
oct3214111073020
9714612114661
10224968078864
1187454685421
1237725430554
13182a305a139
14ac621196a4
155cba43d844
hex3461247610

224968078864 has 45 divisors (see below), whose sum is σ = 438467748303. Its totient is φ = 111819059616.

The previous prime is 224968078807. The next prime is 224968078931. The reversal of 224968078864 is 468870869422.

The square root of 224968078864 is 474308.

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

It is a super-2 number, since 2×2249680788642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 224968078796 and 224968078805.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 536916447 + ... + 536916865.

Almost surely, 2224968078864 is an apocalyptic number.

224968078864 is the 474308-th square number.

It is an amenable number.

224968078864 is a deficient number, since it is larger than the sum of its proper divisors (213499669439).

224968078864 is an frugal number, since it uses more digits than its factorization.

224968078864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

Multiplying 224968078864 by its sum of digits (64), we get a square (14397957047296 = 37944642).

The spelling of 224968078864 in words is "two hundred twenty-four billion, nine hundred sixty-eight million, seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 283 419 566 838 1132 1676 2264 3352 4528 6704 80089 118577 160178 175561 237154 320356 351122 474308 640712 702244 948616 1281424 1404488 1897232 2808976 33557291 49683763 67114582 99367526 134229164 198735052 268458328 397470104 536916656 794940208 14060504929 28121009858 56242019716 112484039432 224968078864