Search a number
-
+
33220201400 = 23523125121347
BaseRepresentation
bin11110111100000101…
…000000101110111000
310011202011200002020122
4132330011000232320
51021013332421100
623132224112412
72254141024061
oct367405005670
9104664602218
1033220201400
11130a7a35001
126531465708
133195587909
141871db1568
15ce66b7985
hex7bc140bb8

33220201400 has 96 divisors (see below), whose sum is σ = 80049876480. Its totient is φ = 12807600000.

The previous prime is 33220201373. The next prime is 33220201433. The reversal of 33220201400 is 410202233.

It is a super-2 number, since 2×332202014002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1545527 + ... + 1566873.

It is an arithmetic number, because the mean of its divisors is an integer number (833852880).

Almost surely, 233220201400 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 33220201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40024938240).

33220201400 is an abundant number, since it is smaller than the sum of its proper divisors (46829675080).

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

33220201400 is a wasteful number, since it uses less digits than its factorization.

33220201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 33220201400 its reverse (410202233), we get a palindrome (33630403633).

The spelling of 33220201400 in words is "thirty-three billion, two hundred twenty million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 251 310 502 620 775 1004 1240 1255 1550 2008 2510 3100 5020 6200 6275 7781 10040 12550 15562 21347 25100 31124 38905 42694 50200 62248 77810 85388 106735 155620 170776 194525 213470 311240 389050 426940 533675 661757 778100 853880 1067350 1323514 1556200 2134700 2647028 3308785 4269400 5294056 5358097 6617570 10716194 13235140 16543925 21432388 26470280 26790485 33087850 42864776 53580970 66175700 107161940 132351400 133952425 166101007 214323880 267904850 332202014 535809700 664404028 830505035 1071619400 1328808056 1661010070 3322020140 4152525175 6644040280 8305050350 16610100700 33220201400