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224054401024 = 2111937155621
BaseRepresentation
bin1101000010101010101…
…1101101100000000000
3210102022201212212101001
43100222223231200000
512132330411313044
6250532411221344
722121163662026
oct3205253554000
9712281785331
10224054401024
1187025960773
123750b447854
1318188984b6c
14abb6a3c716
155c6510e2d4
hex342aaed800

224054401024 has 96 divisors (see below), whose sum is σ = 484326788400. Its totient is φ = 103261962240.

The previous prime is 224054400961. The next prime is 224054401079. The reversal of 224054401024 is 420104450422.

It is a junction number, because it is equal to n+sod(n) for n = 224054400983 and 224054401001.

It is a congruent number.

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, 1361934 + ... + 1517554.

Almost surely, 2224054401024 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 224054401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242163394200).

224054401024 is an abundant number, since it is smaller than the sum of its proper divisors (260272387376).

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

224054401024 is a wasteful number, since it uses less digits than its factorization.

224054401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155699 (or 155679 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 224054401024 its reverse (420104450422), we get a palindrome (644158851446).

The spelling of 224054401024 in words is "two hundred twenty-four billion, fifty-four million, four hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 512 592 608 703 1024 1184 1216 1406 2048 2368 2432 2812 4736 4864 5624 9472 9728 11248 18944 19456 22496 37888 38912 44992 75776 89984 155621 179968 311242 359936 622484 719872 1244968 1439744 2489936 2956799 4979872 5757977 5913598 9959744 11515954 11827196 19919488 23031908 23654392 39838976 46063816 47308784 79677952 92127632 94617568 109401563 159355904 184255264 189235136 218803126 318711808 368510528 378470272 437606252 737021056 756940544 875212504 1474042112 1513881088 1750425008 2948084224 3027762176 3500850016 5896168448 6055524352 7001700032 11792336896 14003400064 28006800128 56013600256 112027200512 224054401024