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30210229752 = 23337416071367
BaseRepresentation
bin11100001000101010…
…111000010111111000
32212222101212200101020
4130020222320113320
5443332304323002
621513422022440
72116431500403
oct341052702770
985871780336
1030210229752
11118a298382a
125a31417a20
132b05ac16c1
141668330d3a
15bbc3042bc
hex708ab85f8

30210229752 has 128 divisors (see below), whose sum is σ = 79647805440. Its totient is φ = 9536209920.

The previous prime is 30210229723. The next prime is 30210229759. The reversal of 30210229752 is 25792201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30210229759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22098973 + ... + 22100339.

It is an arithmetic number, because the mean of its divisors is an integer number (622248480).

Almost surely, 230210229752 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 30210229752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39823902720).

30210229752 is an abundant number, since it is smaller than the sum of its proper divisors (49437575688).

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

30210229752 is a wasteful number, since it uses less digits than its factorization.

30210229752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 30210229752 in words is "thirty billion, two hundred ten million, two hundred twenty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 607 888 984 1214 1367 1517 1821 2428 2734 3034 3642 4101 4551 4856 5468 6068 7284 8202 9102 10936 12136 14568 16404 18204 22459 24887 32808 36408 44918 49774 50579 56047 67377 74661 89836 99548 101158 112094 134754 149322 151737 168141 179672 199096 202316 224188 269508 298644 303474 336282 404632 448376 539016 597288 606948 672564 829769 920819 1213896 1345128 1659538 1841638 2073739 2489307 2762457 3319076 3683276 4147478 4978614 5524914 6221217 6638152 7366552 8294956 9957228 11049828 12442434 16589912 19914456 22099656 24884868 30701453 34020529 49769736 61402906 68041058 92104359 102061587 122805812 136082116 184208718 204123174 245611624 272164232 368417436 408246348 736834872 816492696 1258759573 2517519146 3776278719 5035038292 7552557438 10070076584 15105114876 30210229752