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30055302240 = 2535251249463
BaseRepresentation
bin11011111111011011…
…111000010001100000
32212120121100112210020
4123333123320101200
5443023124132430
621450205233440
72112540565605
oct337733702140
985517315706
1030055302240
1111823486467
1259a9562880
132aac988a12
1416519226ac
15bad8eeb10
hex6ff6f8460

30055302240 has 96 divisors (see below), whose sum is σ = 95051771136. Its totient is φ = 7982784000.

The previous prime is 30055302239. The next prime is 30055302241. The reversal of 30055302240 is 4220355003.

It is an interprime number because it is at equal distance from previous prime (30055302239) and next prime (30055302241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30055302240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30055302241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4252 + ... + 245211.

It is an arithmetic number, because the mean of its divisors is an integer number (990122616).

Almost surely, 230055302240 is an apocalyptic number.

30055302240 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 30055302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47525885568).

30055302240 is an abundant number, since it is smaller than the sum of its proper divisors (64996468896).

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

30055302240 is a wasteful number, since it uses less digits than its factorization.

30055302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249732 (or 249724 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 30055302240 its reverse (4220355003), we get a palindrome (34275657243).

The spelling of 30055302240 in words is "thirty billion, fifty-five million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 8032 10040 12048 15060 20080 24096 30120 40160 60240 120480 249463 498926 748389 997852 1247315 1496778 1995704 2494630 2993556 3741945 3991408 4989260 5987112 7483890 7982816 9978520 11974224 14967780 19957040 23948448 29935560 39914080 59871120 62615213 119742240 125230426 187845639 250460852 313076065 375691278 500921704 626152130 751382556 939228195 1001843408 1252304260 1502765112 1878456390 2003686816 2504608520 3005530224 3756912780 5009217040 6011060448 7513825560 10018434080 15027651120 30055302240