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30222204432 = 24373710212381
BaseRepresentation
bin11100001001011000…
…100011111000010000
32220000020102001112220
4130021120203320100
5443343341020212
621514530421040
72116635333120
oct341130437020
986006361486
1030222204432
11118a9712562
125a35431780
132b08425004
141669b6ac80
15bbd3bc38c
hex709623e10

30222204432 has 160 divisors (see below), whose sum is σ = 91767293184. Its totient is φ = 8389785600.

The previous prime is 30222204431. The next prime is 30222204443. The reversal of 30222204432 is 23440222203.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30222204431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12691882 + ... + 12694262.

Almost surely, 230222204432 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 30222204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45883646592).

30222204432 is an abundant number, since it is smaller than the sum of its proper divisors (61545088752).

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

30222204432 is a wasteful number, since it uses less digits than its factorization.

30222204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 30222204432 its reverse (23440222203), we get a palindrome (53662426635).

The spelling of 30222204432 in words is "thirty billion, two hundred twenty-two million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1021 1036 1554 1776 2042 2072 2381 3063 3108 4084 4144 4762 6126 6216 7143 7147 8168 9524 12252 12432 14286 14294 16336 16667 19048 21441 24504 28572 28588 33334 37777 38096 42882 49008 50001 57144 57176 66668 75554 85764 88097 100002 113331 114288 114352 133336 151108 171528 176194 200004 226662 264291 264439 266672 302216 343056 352388 400008 453324 528582 528878 604432 616679 704776 793317 800016 906648 1057164 1057756 1233358 1409552 1586634 1813296 1850037 2114328 2115512 2431001 2466716 3173268 3700074 4228656 4231024 4862002 4933432 6346536 7293003 7400148 9724004 9866864 12693072 14586006 14800296 17017007 19448008 29172012 29600592 34034014 38896016 51051021 58344024 68068028 89947037 102102042 116688048 136136056 179894074 204204084 269841111 272272112 359788148 408408168 539682222 629629259 719576296 816816336 1079364444 1259258518 1439152592 1888887777 2158728888 2518517036 3777775554 4317457776 5037034072 7555551108 10074068144 15111102216 30222204432