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2240540432 = 2413172832239
BaseRepresentation
bin1000010110001011…
…1110111100010000
312210010222020122222
42011202332330100
514042034243212
61010154320212
7106344164564
oct20542767420
95703866588
102240540432
11a4a7aa209
12526429068
13299257190
141737d16a4
15d1a78c72
hex858bef10

2240540432 has 80 divisors (see below), whose sum is σ = 4969681920. Its totient is φ = 969394176.

The previous prime is 2240540417. The next prime is 2240540441. The reversal of 2240540432 is 2340450422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999569 + ... + 1001807.

It is an arithmetic number, because the mean of its divisors is an integer number (62121024).

Almost surely, 22240540432 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 2240540432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484840960).

2240540432 is an abundant number, since it is smaller than the sum of its proper divisors (2729141488).

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

2240540432 is a wasteful number, since it uses less digits than its factorization.

2240540432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2240540432 is about 47334.3472755250. The cubic root of 2240540432 is about 1308.5317411444.

Adding to 2240540432 its reverse (2340450422), we get a palindrome (4580990854).

The spelling of 2240540432 in words is "two billion, two hundred forty million, five hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 283 442 566 884 1132 1768 2239 2264 3536 3679 4478 4528 4811 7358 8956 9622 14716 17912 19244 29107 29432 35824 38063 38488 58214 58864 62543 76126 76976 116428 125086 152252 232856 250172 304504 465712 494819 500344 609008 633637 989638 1000688 1267274 1979276 2534548 3958552 5069096 7917104 8237281 10138192 10771829 16474562 21543658 32949124 43087316 65898248 86174632 131796496 140033777 172349264 280067554 560135108 1120270216 2240540432