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30112224000 = 28353313669
BaseRepresentation
bin11100000010110101…
…000001001100000000
32212201120110110202120
4130002311001030000
5443132212132000
621500001244240
72114131452345
oct340265011400
985646413676
1030112224000
1111852624641
125a04633680
132abb6c8831
1416592dc7cc
15bb38e56a0
hex702d41300

30112224000 has 144 divisors (see below), whose sum is σ = 100018070880. Its totient is φ = 8029900800.

The previous prime is 30112223983. The next prime is 30112224011. The reversal of 30112224000 is 42221103.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60835 + ... + 252834.

Almost surely, 230112224000 is an apocalyptic number.

30112224000 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 30112224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50009035440).

30112224000 is an abundant number, since it is smaller than the sum of its proper divisors (69905846880).

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

30112224000 is an equidigital number, since it uses as much as digits as its factorization.

30112224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313703 (or 313679 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30112224000 its reverse (42221103), we get a palindrome (30154445103).

The spelling of 30112224000 in words is "thirty billion, one hundred twelve million, two hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 313669 627338 941007 1254676 1568345 1882014 2509352 3136690 3764028 4705035 5018704 6273380 7528056 7841725 9410070 10037408 12546760 15056112 15683450 18820140 20074816 23525175 25093520 30112224 31366900 37640280 39208625 40149632 47050350 50187040 60224448 62733800 75280560 78417250 80299264 94100700 100374080 117625875 120448896 125467600 150561120 156834500 188201400 200748160 235251750 240897792 250935200 301122240 313669000 376402800 401496320 470503500 501870400 602244480 627338000 752805600 941007000 1003740800 1204488960 1254676000 1505611200 1882014000 2007481600 2509352000 3011222400 3764028000 5018704000 6022444800 7528056000 10037408000 15056112000 30112224000