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30224000400 = 24352112289697
BaseRepresentation
bin11100001001011111…
…011010010110010000
32220000100210022011020
4130021133122112100
5443344321003100
621515033115440
72116656523146
oct341137322620
986010708136
1030224000400
11118aa729930
125a35b58b80
132b08903609
14166a0b7596
15bbd6245a0
hex7097da590

30224000400 has 120 divisors (see below), whose sum is σ = 105619189344. Its totient is φ = 7327027200.

The previous prime is 30224000383. The next prime is 30224000413. The reversal of 30224000400 is 400042203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30224000400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131649 + ... + 1158048.

Almost surely, 230224000400 is an apocalyptic number.

30224000400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30224000400 is an abundant number, since it is smaller than the sum of its proper divisors (75395188944).

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

30224000400 is a wasteful number, since it uses less digits than its factorization.

30224000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289729 (or 2289718 counting only the distinct ones).

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

Adding to 30224000400 its reverse (400042203), we get a palindrome (30624042603).

The spelling of 30224000400 in words is "thirty billion, two hundred twenty-four million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 2289697 4579394 6869091 9158788 11448485 13738182 18317576 22896970 25186667 27476364 34345455 36635152 45793940 50373334 54952728 57242425 68690910 75560001 91587880 100746668 109905456 114484850 125933335 137381820 151120002 171727275 183175760 201493336 228969700 251866670 274763640 302240004 343454550 377800005 402986672 457939400 503733340 549527280 604480008 629666675 686909100 755600010 915878800 1007466680 1208960016 1259333350 1373818200 1511200020 1889000025 2014933360 2518666700 2747636400 3022400040 3778000050 5037333400 6044800080 7556000100 10074666800 15112000200 30224000400