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30213144 = 2332133191
BaseRepresentation
bin111001101000…
…0010000011000
32002211222122100
41303100100120
530213310034
62555323400
7514543653
oct163202030
962758570
1030213144
1116066645
12a150560
13634b000
14402689a
1529bc099
hex1cd0418

30213144 has 96 divisors (see below), whose sum is σ = 89107200. Its totient is φ = 9247680.

The previous prime is 30213143. The next prime is 30213163. The reversal of 30213144 is 44131203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30213143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158089 + ... + 158279.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 230213144 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 30213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553600).

30213144 is an abundant number, since it is smaller than the sum of its proper divisors (58894056).

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

30213144 is a wasteful number, since it uses less digits than its factorization.

30213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30213144 is about 5496.6484333637. The cubic root of 30213144 is about 311.4573902093.

Adding to 30213144 its reverse (44131203), we get a palindrome (74344347).

The spelling of 30213144 in words is "thirty million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 191 234 312 338 382 468 507 573 676 764 936 1014 1146 1352 1521 1528 1719 2028 2197 2292 2483 3042 3438 4056 4394 4584 4966 6084 6591 6876 7449 8788 9932 12168 13182 13752 14898 17576 19773 19864 22347 26364 29796 32279 39546 44694 52728 59592 64558 79092 89388 96837 129116 158184 178776 193674 258232 290511 387348 419627 581022 774696 839254 1162044 1258881 1678508 2324088 2517762 3357016 3776643 5035524 7553286 10071048 15106572 30213144