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30220225504 = 2572233127031
BaseRepresentation
bin11100001001010001…
…000000101111100000
32220000002200111222021
4130021101000233200
5443342334204004
621514420151224
72116612451500
oct341121005740
986002614867
1030220225504
11118a8590787
125a34838514
132b07bb1351
1416697b3a00
15bbd12ad54
hex709440be0

30220225504 has 144 divisors (see below), whose sum is σ = 74551228416. Its totient is φ = 11988345600.

The previous prime is 30220225501. The next prime is 30220225543. The reversal of 30220225504 is 40552202203.

It is a happy number.

It is a super-2 number, since 2×302202255042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220225501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104469 + ... + 1131499.

It is an arithmetic number, because the mean of its divisors is an integer number (517716864).

Almost surely, 230220225504 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 30220225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37275614208).

30220225504 is an abundant number, since it is smaller than the sum of its proper divisors (44331002912).

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

30220225504 is a wasteful number, since it uses less digits than its factorization.

30220225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27109 (or 27094 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 30220225504 its reverse (40552202203), we get a palindrome (70772427707).

The spelling of 30220225504 in words is "thirty billion, two hundred twenty million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 49 56 62 92 98 112 124 161 184 196 217 224 248 322 368 392 434 496 644 713 736 784 868 992 1127 1288 1426 1519 1568 1736 2254 2576 2852 3038 3472 4508 4991 5152 5704 6076 6944 9016 9982 11408 12152 18032 19964 22816 24304 27031 34937 36064 39928 48608 54062 69874 79856 108124 139748 159712 189217 216248 279496 378434 432496 558992 621713 756868 837961 864992 1117984 1243426 1324519 1513736 1675922 2486852 2649038 3027472 3351844 4351991 4973704 5298076 5865727 6054944 6703688 8703982 9947408 10596152 11731454 13407376 17407964 19273103 19894816 21192304 23462908 26814752 30463937 34815928 38546206 41060089 42384608 46925816 60927874 69631856 77092412 82120178 93851632 121855748 134911721 139263712 154184824 164240356 187703264 243711496 269823442 308369648 328480712 487422992 539646884 616739296 656961424 944382047 974845984 1079293768 1313922848 1888764094 2158587536 3777528188 4317175072 7555056376 15110112752 30220225504