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2214340040 = 2351143117037
BaseRepresentation
bin1000001111111100…
…0010010111001000
312201022200010111002
42003333002113020
514013332340130
61003420554132
7105605402603
oct20377022710
95638603432
102214340040
11a36a344a0
125196b2948
132939b27a3
1417013133a
15ce600b45
hex83fc25c8

2214340040 has 64 divisors (see below), whose sum is σ = 5561645760. Its totient is φ = 786481920.

The previous prime is 2214340039. The next prime is 2214340057. The reversal of 2214340040 is 400434122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2214339994 and 2214340021.

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, 39599 + ... + 77438.

It is an arithmetic number, because the mean of its divisors is an integer number (86900715).

Almost surely, 22214340040 is an apocalyptic number.

2214340040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214340040 is an abundant number, since it is smaller than the sum of its proper divisors (3347305720).

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

2214340040 is a wasteful number, since it uses less digits than its factorization.

2214340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117102 (or 117098 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2214340040 is about 47056.7746451029. The cubic root of 2214340040 is about 1303.4111675851.

Adding to 2214340040 its reverse (400434122), we get a palindrome (2614774162).

The spelling of 2214340040 in words is "two billion, two hundred fourteen million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 117037 234074 468148 585185 936296 1170370 1287407 2340740 2574814 4681480 5032591 5149628 6437035 10065182 10299256 12874070 20130364 25162955 25748140 40260728 50325910 51496280 55358501 100651820 110717002 201303640 221434004 276792505 442868008 553585010 1107170020 2214340040