Search a number
-
+
30221632 = 267223419
BaseRepresentation
bin111001101001…
…0010101000000
32002212102021201
41303102111000
530214043012
62555430544
7514610500
oct163222500
962772251
1030221632
1116071a61
12a155454
136351b2c
144029a00
1529be857
hex1cd2540

30221632 has 84 divisors (see below), whose sum is σ = 72969120. Its totient is φ = 12359424.

The previous prime is 30221627. The next prime is 30221663. The reversal of 30221632 is 23612203.

It is a congruent number.

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, 71919 + ... + 72337.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 230221632 is an apocalyptic number.

30221632 is a gapful number since it is divisible by the number (32) 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 30221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36484560).

30221632 is an abundant number, since it is smaller than the sum of its proper divisors (42747488).

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

30221632 is a wasteful number, since it uses less digits than its factorization.

30221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 30221632 is about 5497.4204860098. The cubic root of 30221632 is about 311.4865541476.

Adding to 30221632 its reverse (23612203), we get a palindrome (53833835).

The spelling of 30221632 in words is "thirty million, two hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 161 184 196 224 322 368 392 419 448 644 736 784 838 1127 1288 1472 1568 1676 2254 2576 2933 3136 3352 4508 5152 5866 6704 9016 9637 10304 11732 13408 18032 19274 20531 23464 26816 36064 38548 41062 46928 67459 72128 77096 82124 93856 134918 154192 164248 187712 269836 308384 328496 472213 539672 616768 656992 944426 1079344 1313984 1888852 2158688 3777704 4317376 7555408 15110816 30221632