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224838205452 = 223272273930463
BaseRepresentation
bin1101000101100101100…
…1101100000000001100
3210111100100202020220200
43101121121230000030
512140432040033302
6251142251013500
722146462133110
oct3213131540014
9714310666820
10224838205452
118739833a623
12376a9a3a290
1318282187173
14ac4cb8d740
155cadd3781c
hex345966c00c

224838205452 has 72 divisors (see below), whose sum is σ = 652394136576. Its totient is φ = 63956477664.

The previous prime is 224838205451. The next prime is 224838205457. The reversal of 224838205452 is 254502838422.

224838205452 is a `hidden beast` number, since 2 + 2 + 4 + 83 + 8 + 20 + 545 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 224838205398 and 224838205407.

It is not an unprimeable number, because it can be changed into a prime (224838205451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908028 + ... + 2022435.

Almost surely, 2224838205452 is an apocalyptic number.

It is an amenable number.

224838205452 is an abundant number, since it is smaller than the sum of its proper divisors (427555931124).

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

224838205452 is a wasteful number, since it uses less digits than its factorization.

224838205452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930707 (or 3930702 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 224838205452 in words is "two hundred twenty-four billion, eight hundred thirty-eight million, two hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 454 681 908 1362 1589 2043 2724 3178 4086 4767 6356 8172 9534 14301 19068 28602 57204 3930463 7860926 11791389 15721852 23582778 27513241 35374167 47165556 55026482 70748334 82539723 110052964 141496668 165079446 247619169 330158892 495238338 892215101 990476676 1784430202 2676645303 3568860404 5353290606 6245505707 8029935909 10706581212 12491011414 16059871818 18736517121 24982022828 32119743636 37473034242 56209551363 74946068484 112419102726 224838205452