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2034222432 = 253118323209
BaseRepresentation
bin111100100111111…
…1100010101100000
312020202202012120120
41321033330111200
513131230104212
6533504240240
7101260414434
oct17117742540
95222665516
102034222432
119542a1470
12489310080
1326559a218
141542469c4
15bd8c288c
hex793fc560

2034222432 has 96 divisors (see below), whose sum is σ = 5895711360. Its totient is φ = 608977920.

The previous prime is 2034222427. The next prime is 2034222433. The reversal of 2034222432 is 2342224302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034222433) 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, 76044 + ... + 99252.

It is an arithmetic number, because the mean of its divisors is an integer number (61413660).

Almost surely, 22034222432 is an apocalyptic number.

2034222432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947855680).

2034222432 is an abundant number, since it is smaller than the sum of its proper divisors (3861488928).

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

2034222432 is a wasteful number, since it uses less digits than its factorization.

2034222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23316 (or 23308 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2034222432 is about 45102.3550604622. The cubic root of 2034222432 is about 1267.0667070095.

Adding to 2034222432 its reverse (2342224302), we get a palindrome (4376446734).

The spelling of 2034222432 in words is "two billion, thirty-four million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 166 176 249 264 332 352 498 528 664 913 996 1056 1328 1826 1992 2656 2739 3652 3984 5478 7304 7968 10956 14608 21912 23209 29216 43824 46418 69627 87648 92836 139254 185672 255299 278508 371344 510598 557016 742688 765897 1021196 1114032 1531794 1926347 2042392 2228064 3063588 3852694 4084784 5779041 6127176 7705388 8169568 11558082 12254352 15410776 21189817 23116164 24508704 30821552 42379634 46232328 61643104 63569451 84759268 92464656 127138902 169518536 184929312 254277804 339037072 508555608 678074144 1017111216 2034222432