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33234243228 = 2232171073171601
BaseRepresentation
bin11110111100111010…
…100100111010011100
310011210011002111000100
4132330322210322130
51021030431240403
623133445101100
72254401256254
oct367472447234
9104704074010
1033234243228
111310495591a
1265360b7790
1331984630a4
141873bc8964
15ce7a3d2a3
hex7bcea4e9c

33234243228 has 144 divisors (see below), whose sum is σ = 90121266144. Its totient is φ = 10289971200.

The previous prime is 33234243197. The next prime is 33234243233. The reversal of 33234243228 is 82234243233.

33234243228 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 424 + 3 + 228 = 666.

It is a super-2 number, since 2×332342432282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33234243192 and 33234243201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20757628 + ... + 20759228.

It is an arithmetic number, because the mean of its divisors is an integer number (625842126).

Almost surely, 233234243228 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 33234243228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45060633072).

33234243228 is an abundant number, since it is smaller than the sum of its proper divisors (56887022916).

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

33234243228 is a wasteful number, since it uses less digits than its factorization.

33234243228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2047 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 33234243228 in words is "thirty-three billion, two hundred thirty-four million, two hundred forty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 204 214 306 317 321 428 612 634 642 951 963 1268 1284 1601 1819 1902 1926 2853 3202 3638 3804 3852 4803 5389 5457 5706 6404 7276 9606 10778 10914 11412 14409 16167 16371 19212 21556 21828 27217 28818 32334 32742 33919 48501 54434 57636 64668 65484 67838 81651 97002 101757 108868 135676 163302 171307 194004 203514 244953 305271 326604 342614 407028 489906 507517 513921 576623 610542 685228 979812 1015034 1027842 1153246 1221084 1522551 1541763 1729869 2030068 2055684 2306492 2912219 3045102 3083526 3459738 4567653 5189607 5824438 6090204 6167052 6919476 8627789 8736657 9135306 10379214 11648876 17255578 17473314 18270612 20758428 25883367 26209971 34511156 34946628 51766734 52419942 54304319 77650101 103533468 104839884 108608638 155300202 162912957 217217276 310600404 325825914 488738871 651651828 923173423 977477742 1846346846 1954955484 2769520269 3692693692 5539040538 8308560807 11078081076 16617121614 33234243228