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2254121352 = 233373148091
BaseRepresentation
bin1000011001011011…
…0010100110001000
312211002112020012000
42012112302212020
514104023340402
61011401351000
7106600500240
oct20626624610
95732466160
102254121352
11a5743580a
1252aa98460
1329c000922
14175528b20
15d2d5cc1c
hex865b2988

2254121352 has 128 divisors (see below), whose sum is σ = 7386931200. Its totient is φ = 623246400.

The previous prime is 2254121351. The next prime is 2254121399. The reversal of 2254121352 is 2531214522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2254121351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22827 + ... + 70917.

It is an arithmetic number, because the mean of its divisors is an integer number (57710400).

Almost surely, 22254121352 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 2254121352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693465600).

2254121352 is an abundant number, since it is smaller than the sum of its proper divisors (5132809848).

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

2254121352 is a wasteful number, since it uses less digits than its factorization.

2254121352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48144 (or 48134 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2254121352 is about 47477.5878915515. The cubic root of 2254121352 is about 1311.1702830094.

Adding to 2254121352 its reverse (2531214522), we get a palindrome (4785335874).

The spelling of 2254121352 in words is "two billion, two hundred fifty-four million, one hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6696 7812 11718 15624 23436 46872 48091 96182 144273 192364 288546 336637 384728 432819 577092 673274 865638 1009911 1154184 1298457 1346548 1490821 1731276 2019822 2596914 2693096 2981642 3029733 3462552 4039644 4472463 5193828 5963284 6059466 8079288 8944926 9089199 10387656 10435747 11926568 12118932 13417389 17889852 18178398 20871494 24237864 26834778 31307241 35779704 36356796 40252167 41742988 53669556 62614482 72713592 80504334 83485976 93921723 107339112 125228964 161008668 187843446 250457928 281765169 322017336 375686892 563530338 751373784 1127060676 2254121352