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33213696 = 28359733
BaseRepresentation
bin111111010110…
…0110100000000
32022111102121220
41332230310000
532000314241
63143515040
7552211635
oct176546400
968442556
1033213696
1117825a3a
12b158a80
136b5b999
1445a818c
152db1166
hex1facd00

33213696 has 72 divisors (see below), whose sum is σ = 90017760. Its totient is φ = 10868736.

The previous prime is 33213647. The next prime is 33213703. The reversal of 33213696 is 69631233.

It is a super-2 number, since 2×332136962 = 2206299203960832, which contains 22 as substring.

It is a congruent number.

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, 44946 + ... + 45678.

Almost surely, 233213696 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 33213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45008880).

33213696 is an abundant number, since it is smaller than the sum of its proper divisors (56804064).

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

33213696 is an equidigital number, since it uses as much as digits as its factorization.

33213696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 797 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The square root of 33213696 is about 5763.1324815590. The cubic root of 33213696 is about 321.4443047255. Note that the first 3 decimals are identical.

It can be divided in two parts, 332 and 13696, that added together give a triangular number (14028 = T167).

The spelling of 33213696 in words is "thirty-three million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 733 768 944 1416 1466 1888 2199 2832 2932 3776 4398 5664 5864 7552 8796 11328 11728 15104 17592 22656 23456 35184 43247 45312 46912 70368 86494 93824 129741 140736 172988 187648 259482 281472 345976 518964 562944 691952 1037928 1383904 2075856 2767808 4151712 5535616 8303424 11071232 16606848 33213696