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30223150400 = 265229651361
BaseRepresentation
bin11100001001011100…
…001010110101000000
32220000022012010011202
4130021130022311000
5443344111303100
621515003000332
72116646353052
oct341134126500
986008163152
1030223150400
11118aa1a9253
125a358090a8
132b08696761
141669d358d2
15bbd5077d5
hex70970ad40

30223150400 has 84 divisors (see below), whose sum is σ = 76932365820. Its totient is φ = 11672371200.

The previous prime is 30223150357. The next prime is 30223150417. The reversal of 30223150400 is 405132203.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6870420544 + 23352729856 = 82888^2 + 152816^2 .

It is a super-3 number, since 3×302231504003 (a number of 32 digits) contains 333 as substring.

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, 279281 + ... + 372080.

Almost surely, 230223150400 is an apocalyptic number.

It is an amenable number.

30223150400 is an abundant number, since it is smaller than the sum of its proper divisors (46709215420).

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

30223150400 is a wasteful number, since it uses less digits than its factorization.

30223150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651412 (or 651397 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 30223150400 its reverse (405132203), we get a palindrome (30628282603).

The spelling of 30223150400 in words is "thirty billion, two hundred twenty-three million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1160 1450 1600 1856 2320 2900 4640 5800 9280 11600 23200 46400 651361 1302722 2605444 3256805 5210888 6513610 10421776 13027220 16284025 18889469 20843552 26054440 32568050 37778938 41687104 52108880 65136100 75557876 94447345 104217760 130272200 151115752 188894690 208435520 260544400 302231504 377789380 472236725 521088800 604463008 755578760 944473450 1042177600 1208926016 1511157520 1888946900 3022315040 3777893800 6044630080 7555787600 15111575200 30223150400