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2240405504 = 213491557
BaseRepresentation
bin1000010110001001…
…1110000000000000
312210010201101120122
42011202132000000
514042020434004
61010151355412
7106343063321
oct20542360000
95703641518
102240405504
11a4a7178a7
12526382b68
1329920a93c
14173798448
15d1a4dcbe
hex8589e000

2240405504 has 56 divisors (see below), whose sum is σ = 4497723288. Its totient is φ = 1115914240.

The previous prime is 2240405473. The next prime is 2240405507. The reversal of 2240405504 is 4055040422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240405507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4021994 + ... + 4022550.

Almost surely, 22240405504 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 2240405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248861644).

2240405504 is an abundant number, since it is smaller than the sum of its proper divisors (2257317784).

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

2240405504 is an frugal number, since it uses more digits than its factorization.

2240405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2240405504 is about 47332.9219888230. The cubic root of 2240405504 is about 1308.5054735064.

Adding to 2240405504 its reverse (4055040422), we get a palindrome (6295445926).

The spelling of 2240405504 in words is "two billion, two hundred forty million, four hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 491 512 557 982 1024 1114 1964 2048 2228 3928 4096 4456 7856 8192 8912 15712 17824 31424 35648 62848 71296 125696 142592 251392 273487 285184 502784 546974 570368 1005568 1093948 1140736 2011136 2187896 2281472 4022272 4375792 4562944 8751584 17503168 35006336 70012672 140025344 280050688 560101376 1120202752 2240405504