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33389224 = 23112172029
BaseRepresentation
bin111111101011…
…1101010101000
32022211100101221
41333113222220
532021423344
63151351424
7553542451
oct177275250
968740357
1033389224
1117935900
12b222574
136bc084b
144612128
152de8184
hex1fd7aa8

33389224 has 48 divisors (see below), whose sum is σ = 72897300. Its totient is φ = 14277120.

The previous prime is 33389197. The next prime is 33389231. The reversal of 33389224 is 42298333.

It can be written as a sum of positive squares in 2 ways, for example, as 25826724 + 7562500 = 5082^2 + 2750^2 .

It is a super-2 number, since 2×333892242 = 2229680558644352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 33389224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15442 + ... + 17470.

Almost surely, 233389224 is an apocalyptic number.

33389224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33389224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36448650).

33389224 is an abundant number, since it is smaller than the sum of its proper divisors (39508076).

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

33389224 is a wasteful number, since it uses less digits than its factorization.

33389224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2059 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 33389224 is about 5778.3409383663. The cubic root of 33389224 is about 322.0095672479.

The spelling of 33389224 in words is "thirty-three million, three hundred eighty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2029 2057 4058 4114 8116 8228 16232 16456 22319 34493 44638 68986 89276 137972 178552 245509 275944 379423 491018 758846 982036 1517692 1964072 3035384 4173653 8347306 16694612 33389224