Search a number
-
+
2233004240 = 245181154213
BaseRepresentation
bin1000010100011000…
…1111000011010000
312202121210100221202
42011012033003100
514033122113430
61005325010332
7106223136305
oct20506170320
95677710852
102233004240
11a46522155
125239b39a8
13297818bac
141727cd0ac
15d108ad45
hex8518f0d0

2233004240 has 40 divisors (see below), whose sum is σ = 5220452328. Its totient is φ = 888261120.

The previous prime is 2233004177. The next prime is 2233004251. The reversal of 2233004240 is 424003322.

It can be written as a sum of positive squares in 4 ways, for example, as 43138624 + 2189865616 = 6568^2 + 46796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 62627 + ... + 91586.

Almost surely, 22233004240 is an apocalyptic number.

2233004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2233004240 is an abundant number, since it is smaller than the sum of its proper divisors (2987448088).

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

2233004240 is a wasteful number, since it uses less digits than its factorization.

2233004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154407 (or 154401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2233004240 is about 47254.6742661506. The cubic root of 2233004240 is about 1307.0629848546.

Adding to 2233004240 its reverse (424003322), we get a palindrome (2657007562).

The spelling of 2233004240 in words is "two billion, two hundred thirty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 154213 308426 616852 771065 1233704 1542130 2467408 3084260 6168520 12337040 27912553 55825106 111650212 139562765 223300424 279125530 446600848 558251060 1116502120 2233004240