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2154003324 = 22311191376269
BaseRepresentation
bin1000000001100011…
…0111101101111100
312120010010201001220
42000120313231330
513402411101244
6553423433340
7104243504034
oct20030675574
95503121056
102154003324
11a05973640
12501455850
132843484a5
141661068c4
15c9183319
hex80637b7c

2154003324 has 96 divisors (see below), whose sum is σ = 5814547200. Its totient is φ = 613762560.

The previous prime is 2154003323. The next prime is 2154003361. The reversal of 2154003324 is 4233004512.

2154003324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2154003294 and 2154003303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154003323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340462 + ... + 346730.

It is an arithmetic number, because the mean of its divisors is an integer number (60568200).

Almost surely, 22154003324 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 2154003324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907273600).

2154003324 is an abundant number, since it is smaller than the sum of its proper divisors (3660543876).

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

2154003324 is a wasteful number, since it uses less digits than its factorization.

2154003324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2154003324 is about 46411.2413537927. The cubic root of 2154003324 is about 1291.4634602138.

Adding to 2154003324 its reverse (4233004512), we get a palindrome (6387007836).

The spelling of 2154003324 in words is "two billion, one hundred fifty-four million, three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 137 209 228 274 411 418 548 627 822 836 1254 1507 1644 2508 2603 3014 4521 5206 6028 6269 7809 9042 10412 12538 15618 18084 18807 25076 28633 31236 37614 57266 68959 75228 85899 114532 119111 137918 171798 206877 238222 275836 343596 357333 413754 476444 714666 827508 858853 1310221 1429332 1717706 2576559 2620442 3435412 3930663 5153118 5240884 7861326 9447383 10306236 15722652 16318207 18894766 28342149 32636414 37789532 48954621 56684298 65272828 97909242 113368596 179500277 195818484 359000554 538500831 718001108 1077001662 2154003324