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224964797442 = 2371137355127
BaseRepresentation
bin1101000110000011110…
…0100110010000000010
3210111200011221210110220
43101200330212100002
512141211442004232
6251203012203510
722152560141010
oct3214074462002
9714604853426
10224964797442
1187452844000
1237724309596
13182a247b678
14ac619038b0
155cb9ee142c
hex3460f26402

224964797442 has 128 divisors (see below), whose sum is σ = 573345312768. Its totient is φ = 57630925440.

The previous prime is 224964797423. The next prime is 224964797459. The reversal of 224964797442 is 244797469422.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4053283 + ... + 4108409.

It is an arithmetic number, because the mean of its divisors is an integer number (4479260256).

Almost surely, 2224964797442 is an apocalyptic number.

224964797442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224964797442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286672656384).

224964797442 is an abundant number, since it is smaller than the sum of its proper divisors (348380515326).

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

224964797442 is a wasteful number, since it uses less digits than its factorization.

224964797442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55245 (or 55223 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 60.

The spelling of 224964797442 in words is "two hundred twenty-four billion, nine hundred sixty-four million, seven hundred ninety-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 73 77 121 146 154 219 231 242 363 438 462 511 726 803 847 1022 1331 1533 1606 1694 2409 2541 2662 3066 3993 4818 5082 5621 7986 8833 9317 11242 16863 17666 18634 26499 27951 33726 52998 55127 55902 61831 97163 110254 123662 165381 185493 194326 291489 330762 370986 385889 582978 606397 680141 771778 1157667 1212794 1360282 1819191 2040423 2315334 3638382 4024271 4080846 4244779 6670367 8048542 8489558 12072813 12734337 13340734 20011101 24145626 25468674 28169897 40022202 44266981 46692569 56339794 73374037 84509691 88533962 93385138 132800943 140077707 146748074 169019382 220122111 265601886 280155414 309868867 440244222 486936791 513618259 619737734 929606601 973873582 1027236518 1460810373 1540854777 1859213202 2921620746 3081709554 3408557537 5356304701 6817115074 10225672611 10712609402 16068914103 20451345222 32137828206 37494132907 74988265814 112482398721 224964797442