Search a number
-
+
30221254440 = 23335132152511
BaseRepresentation
bin11100001001010100…
…111011111100101000
32220000011121210102000
4130021110323330220
5443343120120230
621514454211000
72116624265346
oct341124737450
986004553360
1030221254440
11118a9123843
125a35053a60
132b081817a0
1416699a0996
15bbd280b60
hex70953bf28

30221254440 has 128 divisors (see below), whose sum is σ = 108486604800. Its totient is φ = 7439074560.

The previous prime is 30221254423. The next prime is 30221254463. The reversal of 30221254440 is 4445212203.

30221254440 is a `hidden beast` number, since 3 + 0 + 2 + 212 + 5 + 4 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062216 + ... + 1090295.

It is an arithmetic number, because the mean of its divisors is an integer number (847551600).

Almost surely, 230221254440 is an apocalyptic number.

30221254440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30221254440 is an abundant number, since it is smaller than the sum of its proper divisors (78265350360).

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

30221254440 is a wasteful number, since it uses less digits than its factorization.

30221254440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152544 (or 2152534 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 30221254440 its reverse (4445212203), we get a palindrome (34666466643).

The spelling of 30221254440 in words is "thirty billion, two hundred twenty-one million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 2152511 4305022 6457533 8610044 10762555 12915066 17220088 19372599 21525110 25830132 27982643 32287665 38745198 43050220 51660264 55965286 58117797 64575330 77490396 83947929 86100440 96862995 111930572 116235594 129150660 139913215 154980792 167895858 193725990 223861144 232471188 251843787 258301320 279826430 290588985 335791716 387451980 419739645 464942376 503687574 559652860 581177970 671583432 755531361 774903960 839479290 1007375148 1119305720 1162355940 1259218935 1511062722 1678958580 2014750296 2324711880 2518437870 3022125444 3357917160 3777656805 5036875740 6044250888 7555313610 10073751480 15110627220 30221254440