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2033021424 = 243743223631
BaseRepresentation
bin111100100101101…
…0111000111110000
312020200111012002210
41321023113013300
513130423141144
6533422412120
7101244253110
oct17113270760
95220435083
102033021424
119536510a5
12488a31040
13265269675
14154013040
15bd736ab9
hex792d71f0

2033021424 has 160 divisors (see below), whose sum is σ = 6179160064. Its totient is φ = 563915520.

The previous prime is 2033021399. The next prime is 2033021443. The reversal of 2033021424 is 4241203302.

It is a super-2 number, since 2×20330214242 = 8266352220885975552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2033021424.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3221589 + ... + 3222219.

Almost surely, 22033021424 is an apocalyptic number.

2033021424 is a gapful number since it is divisible by the number (24) 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 2033021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089580032).

2033021424 is an abundant number, since it is smaller than the sum of its proper divisors (4146138640).

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

2033021424 is a wasteful number, since it uses less digits than its factorization.

2033021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2033021424 is about 45089.0388453779. The cubic root of 2033021424 is about 1266.8172985528.

Adding to 2033021424 its reverse (4241203302), we get a palindrome (6274224726).

The spelling of 2033021424 in words is "two billion, thirty-three million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 223 258 301 336 344 446 516 602 631 669 688 892 903 1032 1204 1262 1338 1561 1784 1806 1893 2064 2408 2524 2676 3122 3568 3612 3786 4417 4683 4816 5048 5352 6244 7224 7572 8834 9366 9589 10096 10704 12488 13251 14448 15144 17668 18732 19178 24976 26502 27133 28767 30288 35336 37464 38356 53004 54266 57534 67123 70672 74928 76712 81399 106008 108532 115068 134246 140713 153424 162798 189931 201369 212016 217064 230136 268492 281426 325596 379862 402738 422139 434128 460272 536984 562852 569793 651192 759724 805476 844278 984991 1073968 1125704 1139586 1302384 1519448 1610952 1688556 1969982 2251408 2279172 2954973 3038896 3221904 3377112 3939964 4558344 5909946 6050659 6754224 7879928 9116688 11819892 12101318 15759856 18151977 23639784 24202636 36303954 42354613 47279568 48405272 72607908 84709226 96810544 127063839 145215816 169418452 254127678 290431632 338836904 508255356 677673808 1016510712 2033021424