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2293334424 = 2333671071481
BaseRepresentation
bin1000100010110001…
…1000000110011000
312220211022110102000
42020230120012120
514144043200144
61015322041000
7110555010123
oct21054300630
95824273360
102293334424
11a77589107
12540049160
132a7180224
1417a8153ba
15d6506769
hex88b18198

2293334424 has 128 divisors (see below), whose sum is σ = 6530284800. Its totient is φ = 745493760.

The previous prime is 2293334389. The next prime is 2293334441. The reversal of 2293334424 is 4244333922.

2293334424 is a `hidden beast` number, since 2 + 293 + 3 + 344 + 24 = 666.

Together with 4236950375 it forms a betrothed pair.

It is a super-3 number, since 3×22933344243 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547764 + ... + 1549244.

It is an arithmetic number, because the mean of its divisors is an integer number (51017850).

Almost surely, 22293334424 is an apocalyptic number.

2293334424 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 2293334424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265142400).

2293334424 is an abundant number, since it is smaller than the sum of its proper divisors (4236950376).

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

2293334424 is a wasteful number, since it uses less digits than its factorization.

2293334424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 2293334424 is about 47888.7713770149. The cubic root of 2293334424 is about 1318.7297283887.

It can be divided in two parts, 229 and 3334424, that added together give a triangular number (3334653 = T2582).

The spelling of 2293334424 in words is "two billion, two hundred ninety-three million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 107 108 134 201 214 216 268 321 402 428 536 603 642 804 856 963 1206 1284 1481 1608 1809 1926 2412 2568 2889 2962 3618 3852 4443 4824 5778 5924 7169 7236 7704 8886 11556 11848 13329 14338 14472 17772 21507 23112 26658 28676 35544 39987 43014 53316 57352 64521 79974 86028 99227 106632 129042 158467 159948 172056 193563 198454 258084 297681 316934 319896 387126 396908 475401 516168 595362 633868 774252 793816 893043 950802 1190724 1267736 1426203 1548504 1786086 1901604 2381448 2679129 2852406 3572172 3803208 4278609 5358258 5704812 7144344 8557218 10617289 10716516 11409624 17114436 21234578 21433032 31851867 34228872 42469156 63703734 84938312 95555601 127407468 191111202 254814936 286666803 382222404 573333606 764444808 1146667212 2293334424