Search a number
-
+
2335232040 = 233573269991
BaseRepresentation
bin1000101100110000…
…1101000000101000
320000202011002010120
42023030031000220
514240304411130
61023420043240
7111604100451
oct21314150050
96022132116
102335232040
11a991a5439
12552093520
132b2a5c70b
14182200128
15da030910
hex8b30d028

2335232040 has 128 divisors (see below), whose sum is σ = 7135257600. Its totient is φ = 611297280.

The previous prime is 2335232027. The next prime is 2335232057. The reversal of 2335232040 is 402325332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2335232040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2355945 + ... + 2356935.

It is an arithmetic number, because the mean of its divisors is an integer number (55744200).

Almost surely, 22335232040 is an apocalyptic number.

2335232040 is a gapful number since it is divisible by the number (20) 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 2335232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567628800).

2335232040 is an abundant number, since it is smaller than the sum of its proper divisors (4800025560).

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

2335232040 is a wasteful number, since it uses less digits than its factorization.

2335232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2335232040 is about 48324.2386385963. The cubic root of 2335232040 is about 1326.7120699707.

Adding to 2335232040 its reverse (402325332), we get a palindrome (2737557372).

The spelling of 2335232040 in words is "two billion, three hundred thirty-five million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 269 292 365 438 538 584 730 807 876 991 1076 1095 1345 1460 1614 1752 1982 2152 2190 2690 2920 2973 3228 3964 4035 4380 4955 5380 5946 6456 7928 8070 8760 9910 10760 11892 14865 16140 19637 19820 23784 29730 32280 39274 39640 58911 59460 72343 78548 98185 117822 118920 144686 157096 196370 217029 235644 266579 289372 294555 361715 392740 434058 471288 533158 578744 589110 723430 785480 799737 868116 1066316 1085145 1178220 1332895 1446860 1599474 1736232 2132632 2170290 2356440 2665790 2893720 3198948 3998685 4340580 5331580 6397896 7997370 8681160 10663160 15994740 19460267 31989480 38920534 58380801 77841068 97301335 116761602 155682136 194602670 233523204 291904005 389205340 467046408 583808010 778410680 1167616020 2335232040