Search a number
-
+
30024243200 = 21152783773
BaseRepresentation
bin11011111101100101…
…011001100000000000
32212111102220120210102
4123331211121200000
5442442201240300
621443135421532
72112012566510
oct337545314000
985442816712
1030024243200
11118079a2336
12599b0848a8
132aa64029a3
14164b759840
15baad170d5
hex6fd959800

30024243200 has 144 divisors (see below), whose sum is σ = 85077523440. Its totient is φ = 10293903360.

The previous prime is 30024243187. The next prime is 30024243233. The reversal of 30024243200 is 234242003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316514 + ... + 400286.

It is an arithmetic number, because the mean of its divisors is an integer number (590816135).

Almost surely, 230024243200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30024243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42538761720).

30024243200 is an abundant number, since it is smaller than the sum of its proper divisors (55053280240).

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

30024243200 is an equidigital number, since it uses as much as digits as its factorization.

30024243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83812 (or 83787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 30024243200 its reverse (234242003), we get a palindrome (30258485203).

The spelling of 30024243200 in words is "thirty billion, twenty-four million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2048 2240 2560 2800 3200 3584 4480 5120 5600 6400 7168 8960 10240 11200 12800 14336 17920 22400 25600 35840 44800 51200 71680 83773 89600 167546 179200 335092 358400 418865 586411 670184 837730 1172822 1340368 1675460 2094325 2345644 2680736 2932055 3350920 4188650 4691288 5361472 5864110 6701840 8377300 9382576 10722944 11728220 13403680 14660275 16754600 18765152 21445888 23456440 26807360 29320550 33509200 37530304 42891776 46912880 53614720 58641100 67018400 75060608 85783552 93825760 107229440 117282200 134036800 150121216 171567104 187651520 214458880 234564400 268073600 300242432 375303040 428917760 469128800 536147200 600484864 750606080 857835520 938257600 1072294400 1200969728 1501212160 1876515200 2144588800 3002424320 3753030400 4289177600 6004848640 7506060800 15012121600 30024243200