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2422201452768 = 2532127239277087
BaseRepresentation
bin100011001111110110011…
…101010000100011100000
322120120010101100212200100
4203033312131100203200
5304141132032442033
65052424411222400
7336666260432436
oct43176635204340
98516111325610
102422201452768
11854282634259
12331532447a00
13147549699cc6
1485341472d56
1543018a49513
hex233f67508e0

2422201452768 has 144 divisors (see below), whose sum is σ = 6971445411840. Its totient is φ = 797688476928.

The previous prime is 2422201452683. The next prime is 2422201452863. The reversal of 2422201452768 is 8672541022242.

2422201452768 is a `hidden beast` number, since 2 + 42 + 2 + 20 + 1 + 4 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8603121 + ... + 8880207.

It is an arithmetic number, because the mean of its divisors is an integer number (48412815360).

Almost surely, 22422201452768 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 2422201452768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485722705920).

2422201452768 is an abundant number, since it is smaller than the sum of its proper divisors (4549243959072).

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

2422201452768 is a wasteful number, since it uses less digits than its factorization.

2422201452768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277469 (or 277458 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 2422201452768 in words is "two trillion, four hundred twenty-two billion, two hundred one million, four hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 239 254 288 381 478 508 717 762 956 1016 1143 1434 1524 1912 2032 2151 2286 2868 3048 3824 4064 4302 4572 5736 6096 7648 8604 9144 11472 12192 17208 18288 22944 30353 34416 36576 60706 68832 91059 121412 182118 242824 273177 277087 364236 485648 546354 554174 728472 831261 971296 1092708 1108348 1456944 1662522 2185416 2216696 2493783 2913888 3325044 4370832 4433392 4987566 6650088 8741664 8866784 9975132 13300176 19950264 26600352 35190049 39900528 66223793 70380098 79801056 105570147 132447586 140760196 198671379 211140294 264895172 281520392 316710441 397342758 422280588 529790344 563040784 596014137 633420882 794685516 844561176 1059580688 1126081568 1192028274 1266841764 1589371032 1689122352 2119161376 2384056548 2533683528 3178742064 3378244704 4768113096 5067367056 6357484128 8410421711 9536226192 10134734112 16820843422 19072452384 25231265133 33641686844 50462530266 67283373688 75693795399 100925060532 134566747376 151387590798 201850121064 269133494752 302775181596 403700242128 605550363192 807400484256 1211100726384 2422201452768