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33950224 = 24711171621
BaseRepresentation
bin1000000110000…
…0101000010000
32100212211221201
42001200220100
532142401344
63211400544
7561400150
oct201405020
970784851
1033950224
1118189340
12b453154
137058cb9
14471a760
152ea94d4
hex2060a10

33950224 has 80 divisors (see below), whose sum is σ = 86887296. Its totient is φ = 12441600.

The previous prime is 33950153. The next prime is 33950227. The reversal of 33950224 is 42205933.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 33950192 and 33950201.

It is not an unprimeable number, because it can be changed into a prime (33950227) 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, 20134 + ... + 21754.

Almost surely, 233950224 is an apocalyptic number.

33950224 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 33950224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43443648).

33950224 is an abundant number, since it is smaller than the sum of its proper divisors (52937072).

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

33950224 is a wasteful number, since it uses less digits than its factorization.

33950224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 33950224 is about 5826.6820747317. The cubic root of 33950224 is about 323.8030098596.

The spelling of 33950224 in words is "thirty-three million, nine hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1621 1904 2618 2992 3242 5236 6484 10472 11347 12968 17831 20944 22694 25936 27557 35662 45388 55114 71324 90776 110228 124817 142648 181552 192899 220456 249634 285296 303127 385798 440912 499268 606254 771596 998536 1212508 1543192 1997072 2121889 2425016 3086384 4243778 4850032 8487556 16975112 33950224