Search a number
-
+
33132200320 = 275176594621
BaseRepresentation
bin11110110110110101…
…010100000110000000
310011112001002011110101
4132312311110012000
51020323320402240
623115402012144
72252022025132
oct366665240600
9104461064411
1033132200320
111306229953a
126507aa7054
13318028577b
141864425052
15cddad339a
hex7b6d54180

33132200320 has 128 divisors (see below), whose sum is σ = 84011320800. Its totient is φ = 12451676160.

The previous prime is 33132200317. The next prime is 33132200329. The reversal of 33132200320 is 2300223133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33132200329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7167610 + ... + 7172230.

Almost surely, 233132200320 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 33132200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42005660400).

33132200320 is an abundant number, since it is smaller than the sum of its proper divisors (50879120480).

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

33132200320 is a wasteful number, since it uses less digits than its factorization.

33132200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 33132200320 its reverse (2300223133), we get a palindrome (35432423453).

The spelling of 33132200320 in words is "thirty-three billion, one hundred thirty-two million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 659 680 1088 1318 1360 2176 2636 2720 3295 4621 5272 5440 6590 9242 10544 10880 11203 13180 18484 21088 22406 23105 26360 36968 42176 44812 46210 52720 56015 73936 78557 84352 89624 92420 105440 112030 147872 157114 179248 184840 210880 224060 295744 314228 358496 369680 392785 421760 448120 591488 628456 716992 739360 785570 896240 1256912 1433984 1478720 1571140 1792480 2513824 2957440 3045239 3142280 3584960 5027648 6090478 6284560 7169920 10055296 12180956 12569120 15226195 24361912 25138240 30452390 48723824 50276480 51769063 60904780 97447648 103538126 121809560 194895296 207076252 243619120 258845315 389790592 414152504 487238240 517690630 828305008 974476480 1035381260 1656610016 1948952960 2070762520 3313220032 4141525040 6626440064 8283050080 16566100160 33132200320