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22133201430 = 23567179227271
BaseRepresentation
bin10100100111001111…
…011101101000010110
32010010111112010111010
4110213033131220112
5330312044421210
614100131153050
71412324052024
oct244717355026
963114463433
1022133201430
11942868490a
124358445786
13211961b9c2
1410dd735714
15898190920
hex5273dda16

22133201430 has 128 divisors (see below), whose sum is σ = 54653460480. Its totient is φ = 5734903680.

The previous prime is 22133201429. The next prime is 22133201437. The reversal of 22133201430 is 3410233122.

22133201430 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22133201397 and 22133201406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133201437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81672195 + ... + 81672465.

It is an arithmetic number, because the mean of its divisors is an integer number (426980160).

Almost surely, 222133201430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133201430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27326730240).

22133201430 is an abundant number, since it is smaller than the sum of its proper divisors (32520259050).

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

22133201430 is a wasteful number, since it uses less digits than its factorization.

22133201430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22133201430 its reverse (3410233122), we get a palindrome (25543434552).

The spelling of 22133201430 in words is "twenty-two billion, one hundred thirty-three million, two hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 179 201 227 271 335 358 402 454 537 542 670 681 813 895 1005 1074 1135 1355 1362 1626 1790 2010 2270 2685 2710 3405 4065 5370 6810 8130 11993 15209 18157 23986 30418 35979 36314 40633 45627 48509 54471 59965 61517 71958 76045 81266 90785 91254 97018 108942 119930 121899 123034 145527 152090 179895 181570 184551 203165 228135 242545 243798 272355 291054 307585 359790 369102 406330 456270 485090 544710 609495 615170 727635 922755 1218990 1455270 1845510 2722411 3250103 4121639 5444822 6500206 8167233 8243278 9750309 11011543 12364917 13612055 16250515 16334466 19500618 20608195 22023086 24729834 27224110 32501030 33034629 40836165 41216390 48751545 55057715 61824585 66069258 81672330 97503090 110115430 123649170 165173145 330346290 737773381 1475546762 2213320143 3688866905 4426640286 7377733810 11066600715 22133201430