Search a number
-
+
3224032240 = 2451113319091
BaseRepresentation
bin1100000000101010…
…1101001111110000
322022200120210210111
43000022231033300
523100323012430
61251530111104
7142615551622
oct30012551760
98280523714
103224032240
111404978160
1275b87b494
133c4c343b0
14228282c12
1513d098c2a
hexc02ad3f0

3224032240 has 160 divisors (see below), whose sum is σ = 9091418112. Its totient is φ = 1047168000.

The previous prime is 3224032219. The next prime is 3224032249. The reversal of 3224032240 is 422304223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224032249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350095 + ... + 359185.

Almost surely, 23224032240 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 3224032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545709056).

3224032240 is an abundant number, since it is smaller than the sum of its proper divisors (5867385872).

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

3224032240 is a wasteful number, since it uses less digits than its factorization.

3224032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3224032240 is about 56780.5621669951. The cubic root of 3224032240 is about 1477.2923833357.

Adding to 3224032240 its reverse (422304223), we get a palindrome (3646336463).

The spelling of 3224032240 in words is "three billion, two hundred twenty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 341 403 440 496 520 572 620 682 715 806 880 1040 1144 1240 1364 1430 1612 1705 2015 2288 2480 2728 2860 3224 3410 4030 4433 5456 5720 6448 6820 8060 8866 9091 11440 13640 16120 17732 18182 22165 27280 32240 35464 36364 44330 45455 70928 72728 88660 90910 100001 118183 145456 177320 181820 200002 236366 281821 354640 363640 400004 472732 500005 563642 590915 727280 800008 945464 1000010 1127284 1181830 1300013 1409105 1600016 1890928 2000020 2254568 2363660 2600026 2818210 3100031 3663673 4000040 4509136 4727320 5200052 5636420 6200062 6500065 7327346 8000080 9454640 10400104 11272840 12400124 13000130 14654692 15500155 18318365 20800208 22545680 24800248 26000260 29309384 31000310 36636730 40300403 49600496 52000520 58618768 62000620 73273460 80600806 104001040 124001240 146546920 161201612 201502015 248002480 293093840 322403224 403004030 644806448 806008060 1612016120 3224032240