Search a number
-
+
33220496 = 244189569
BaseRepresentation
bin111111010111…
…0011110010000
32022111202221202
41332232132100
532001023441
63144010332
7552240521
oct176563620
968452852
1033220496
1117830061
12b1609a8
136b61aca
1445aa848
152db319b
hex1fae790

33220496 has 40 divisors (see below), whose sum is σ = 66792600. Its totient is φ = 15994880.

The previous prime is 33220483. The next prime is 33220507. The reversal of 33220496 is 69402233.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 31360000 = 1364^2 + 5600^2 .

It is a super-2 number, since 2×332204962 = 2207202708972032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58100 + ... + 58668.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815).

Almost surely, 233220496 is an apocalyptic number.

It is an amenable number.

33220496 is an abundant number, since it is smaller than the sum of its proper divisors (33572104).

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

33220496 is a wasteful number, since it uses less digits than its factorization.

33220496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 33220496 is about 5763.7224083052. The cubic root of 33220496 is about 321.4662401756.

The spelling of 33220496 in words is "thirty-three million, two hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 41 82 89 164 178 328 356 569 656 712 1138 1424 2276 3649 4552 7298 9104 14596 23329 29192 46658 50641 58384 93316 101282 186632 202564 373264 405128 810256 2076281 4152562 8305124 16610248 33220496