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13222330440 = 23351110016917
BaseRepresentation
bin11000101000001110…
…01100000001001000
31021010111010222111020
430110013030001020
5204034404033230
610024012232440
7645442645224
oct142407140110
937114128436
1013222330440
11567572a620
12269016b720
131329477087
148d60c1784
15525c1c810
hex3141cc048

13222330440 has 64 divisors (see below), whose sum is σ = 43273085760. Its totient is φ = 3205413120.

The previous prime is 13222330393. The next prime is 13222330447. The reversal of 13222330440 is 4403322231.

It is a super-3 number, since 3×132223304403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13222330440.

It is not an unprimeable number, because it can be changed into a prime (13222330447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5007139 + ... + 5009778.

It is an arithmetic number, because the mean of its divisors is an integer number (676141965).

Almost surely, 213222330440 is an apocalyptic number.

13222330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222330440 is an abundant number, since it is smaller than the sum of its proper divisors (30050755320).

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

13222330440 is a wasteful number, since it uses less digits than its factorization.

13222330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016942 (or 10016938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13222330440 its reverse (4403322231), we get a palindrome (17625652671).

The spelling of 13222330440 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10016917 20033834 30050751 40067668 50084585 60101502 80135336 100169170 110186087 120203004 150253755 200338340 220372174 240406008 300507510 330558261 400676680 440744348 550930435 601015020 661116522 881488696 1101860870 1202030040 1322233044 1652791305 2203721740 2644466088 3305582610 4407443480 6611165220 13222330440