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30230214400 = 28525418731
BaseRepresentation
bin11100001001110111…
…000111011100000000
32220000210111000011101
4130021313013130000
5443402413330100
621515414224144
72120063403601
oct341167073400
986023430141
1030230214400
1111903193571
125a38055054
132b09c9ab39
14166ac53da8
15bbde5086a
hex709dc7700

30230214400 has 108 divisors (see below), whose sum is σ = 74971397704. Its totient is φ = 12068352000.

The previous prime is 30230214389. The next prime is 30230214401. The reversal of 30230214400 is 441203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30230214401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3458035 + ... + 3466765.

Almost surely, 230230214400 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 30230214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37485698852).

30230214400 is an abundant number, since it is smaller than the sum of its proper divisors (44741183304).

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

30230214400 is an equidigital number, since it uses as much as digits as its factorization.

30230214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 30230214400 its reverse (441203203), we get a palindrome (30671417603).

The spelling of 30230214400 in words is "thirty billion, two hundred thirty million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 541 640 800 1082 1280 1600 2164 2705 3200 4328 5410 6400 8656 8731 10820 13525 17312 17462 21640 27050 34624 34924 43280 43655 54100 69248 69848 86560 87310 108200 138496 139696 173120 174620 216400 218275 279392 346240 349240 432800 436550 558784 692480 698480 865600 873100 1117568 1396960 1731200 1746200 2235136 2793920 3462400 3492400 4723471 5587840 6984800 9446942 11175680 13969600 18893884 23617355 27939200 37787768 47234710 55878400 75575536 94469420 118086775 151151072 188938840 236173550 302302144 377877680 472347100 604604288 755755360 944694200 1209208576 1511510720 1889388400 3023021440 3778776800 6046042880 7557553600 15115107200 30230214400