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2023228468352 = 27713374694527
BaseRepresentation
bin11101011100010001110…
…100000110110010000000
321011102022021022022012202
4131130101310012302000
5231122032441441402
64145242555412332
7266113326141110
oct35342164066200
97142267268182
102023228468352
117100567a7973
122881471540a8
13118a35a675c0
146dcd3851040
15379673bbb02
hex1d711d06c80

2023228468352 has 128 divisors (see below), whose sum is σ = 5094877347840. Its totient is φ = 778765529088.

The previous prime is 2023228468351. The next prime is 2023228468399. The reversal of 2023228468352 is 2538648223202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2023228468297 and 2023228468306.

It is not an unprimeable number, because it can be changed into a prime (2023228468351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916288 + ... + 2778239.

It is an arithmetic number, because the mean of its divisors is an integer number (39803729280).

Almost surely, 22023228468352 is an apocalyptic number.

It is an amenable number.

2023228468352 is an abundant number, since it is smaller than the sum of its proper divisors (3071648879488).

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

2023228468352 is a wasteful number, since it uses less digits than its factorization.

2023228468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694598 (or 4694586 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 2023228468352 in words is "two trillion, twenty-three billion, two hundred twenty-eight million, four hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 64 74 91 104 112 128 148 182 208 224 259 296 364 416 448 481 518 592 728 832 896 962 1036 1184 1456 1664 1924 2072 2368 2912 3367 3848 4144 4736 5824 6734 7696 8288 11648 13468 15392 16576 26936 30784 33152 53872 61568 107744 215488 430976 4694527 9389054 18778108 32861689 37556216 61028851 65723378 75112432 122057702 131446756 150224864 173697499 244115404 262893512 300449728 347394998 427201957 488230808 525787024 600899456 694789996 854403914 976461616 1051574048 1215882493 1389579992 1708807828 1952923232 2103148096 2258067487 2431764986 2779159984 3417615656 3905846464 4206296192 4516134974 4863529972 5558319968 6835231312 7811692928 9032269948 9727059944 11116639936 13670462624 15806472409 18064539896 19454119888 22233279872 27340925248 31612944818 36129079792 38908239776 54681850496 63225889636 72258159584 77816479552 126451779272 144516319168 155632959104 252903558544 289032638336 505807117088 1011614234176 2023228468352