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30224040 = 23357113271
BaseRepresentation
bin111001101001…
…0111010101000
32002212112120220
41303102322220
530214132130
62555450040
7514620510
oct163227250
962775526
1030224040
1116073850
12a156920
136352c62
14402a840
1529c0410
hex1cd2ea8

30224040 has 128 divisors (see below), whose sum is σ = 113080320. Its totient is φ = 6278400.

The previous prime is 30224027. The next prime is 30224053. The reversal of 30224040 is 4042203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30224027) and next prime (30224053).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 7605 + ... + 10875.

It is an arithmetic number, because the mean of its divisors is an integer number (883440).

Almost surely, 230224040 is an apocalyptic number.

30224040 is a gapful number since it is divisible by the number (30) 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 30224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56540160).

30224040 is an abundant number, since it is smaller than the sum of its proper divisors (82856280).

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

30224040 is a wasteful number, since it uses less digits than its factorization.

30224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30224040 is about 5497.6394934554. The cubic root of 30224040 is about 311.4948268058.

Adding to 30224040 its reverse (4042203), we get a palindrome (34266243).

It can be divided in two parts, 302 and 24040, that added together give a palindrome (24342).

The spelling of 30224040 in words is "thirty million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 3271 4620 6542 9240 9813 13084 16355 19626 22897 26168 32710 35981 39252 45794 49065 65420 68691 71962 78504 91588 98130 107943 114485 130840 137382 143924 179905 183176 196260 215886 228970 251867 274764 287848 343455 359810 392520 431772 457940 503734 539715 549528 686910 719620 755601 863544 915880 1007468 1079430 1259335 1373820 1439240 1511202 2014936 2158860 2518670 2747640 3022404 3778005 4317720 5037340 6044808 7556010 10074680 15112020 30224040