Search a number
-
+
33322110332 = 22723074011381
BaseRepresentation
bin11111000010001001…
…110000110101111100
310012000021102121000112
4133002021300311330
51021220430012312
623150304245152
72256516156500
oct370211606574
9105007377015
1033322110332
111314a50a765
12655b6107b8
1331b0719264
14188173c300
15d005e7d22
hex7c2270d7c

33322110332 has 72 divisors (see below), whose sum is σ = 68274371088. Its totient is φ = 14188608000.

The previous prime is 33322110313. The next prime is 33322110389. The reversal of 33322110332 is 23301122333.

It is a super-2 number, since 2×333221103322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33322110298 and 33322110307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24128282 + ... + 24129662.

It is an arithmetic number, because the mean of its divisors is an integer number (948255154).

Almost surely, 233322110332 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 33322110332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137185544).

33322110332 is an abundant number, since it is smaller than the sum of its proper divisors (34952260756).

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

33322110332 is a wasteful number, since it uses less digits than its factorization.

33322110332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 33322110332 its reverse (23301122333), we get a palindrome (56623232665).

The spelling of 33322110332 in words is "thirty-three billion, three hundred twenty-two million, one hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 307 401 614 802 1228 1381 1604 2149 2762 2807 4298 5524 5614 8596 9667 11228 15043 19334 19649 30086 38668 39298 60172 67669 78596 123107 135338 246214 270676 423967 492428 553781 847934 861749 1107562 1695868 1723498 2215124 2967769 3446996 3876467 5935538 6032243 7752934 11871076 12064486 15505868 20774383 24128972 27135269 41548766 54270538 83097532 108541076 170010767 340021534 680043068 1190075369 2380150738 4760301476 8330527583 16661055166 33322110332