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2240330430 = 235139759221
BaseRepresentation
bin1000010110001000…
…1011101010111110
312210010120120121010
42011202023222332
514042011033210
61010150020050
7106342331412
oct20542135276
95703516533
102240330430
11a4a676458
12526347626
132991b2710
14173778d42
15d1a36920
hex8588babe

2240330430 has 64 divisors (see below), whose sum is σ = 5850186048. Its totient is φ = 545771520.

The previous prime is 2240330383. The next prime is 2240330441. The reversal of 2240330430 is 340330422.

2240330430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2240330397 and 2240330406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8220 + ... + 67440.

It is an arithmetic number, because the mean of its divisors is an integer number (91409157).

Almost surely, 22240330430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240330430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925093024).

2240330430 is an abundant number, since it is smaller than the sum of its proper divisors (3609855618).

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

2240330430 is a wasteful number, since it uses less digits than its factorization.

2240330430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59341.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2240330430 is about 47332.1289400762. The cubic root of 2240330430 is about 1308.4908577241.

Adding to 2240330430 its reverse (340330422), we get a palindrome (2580660852).

The spelling of 2240330430 in words is "two billion, two hundred forty million, three hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 97 130 194 195 291 390 485 582 970 1261 1455 2522 2910 3783 6305 7566 12610 18915 37830 59221 118442 177663 296105 355326 592210 769873 888315 1539746 1776630 2309619 3849365 4619238 5744437 7698730 11488874 11548095 17233311 23096190 28722185 34466622 57444370 74677681 86166555 149355362 172333110 224033043 373388405 448066086 746776810 1120165215 2240330430