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2228133392384 = 212897737907
BaseRepresentation
bin100000011011000111000…
…110010111000000000000
321220000012110001221120012
4200123013012113000000
5243001204122024014
64423331303204052
7316656136226144
oct40330706270000
97800173057505
102228133392384
11789a45238099
122bb9b1446628
1313215c306b93
1479bb1125224
153ce5b266c3e
hex206c7197000

2228133392384 has 104 divisors (see below), whose sum is σ = 4512186654480. Its totient is φ = 1099984928768.

The previous prime is 2228133392377. The next prime is 2228133392417. The reversal of 2228133392384 is 4832933318222.

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, 281788559 + ... + 281796465.

Almost surely, 22228133392384 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 2228133392384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256093327240).

2228133392384 is an abundant number, since it is smaller than the sum of its proper divisors (2284053262096).

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

2228133392384 is an frugal number, since it uses more digits than its factorization.

2228133392384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8771 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The spelling of 2228133392384 in words is "two trillion, two hundred twenty-eight billion, one hundred thirty-three million, three hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 773 1024 1424 1546 2048 2848 3092 4096 5696 6184 7907 11392 12368 15814 22784 24736 31628 45568 49472 63256 68797 91136 98944 126512 137594 182272 197888 253024 275188 364544 395776 506048 550376 703723 791552 1012096 1100752 1407446 1583104 2024192 2201504 2814892 3166208 4048384 4403008 5629784 6112111 8096768 8806016 11259568 12224222 16193536 17612032 22519136 24448444 32387072 35224064 45038272 48896888 70448128 90076544 97793776 140896256 180153088 195587552 281792512 360306176 391175104 543977879 720612352 782350208 1087955758 1441224704 1564700416 2175911516 2882449408 3129400832 4351823032 6258801664 8703646064 12517603328 17407292128 25035206656 34814584256 69629168512 139258337024 278516674048 557033348096 1114066696192 2228133392384