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224133432040 = 23575348731013
BaseRepresentation
bin1101000010111101100…
…1001100001011101000
3210102112020121001112201
43100233121030023220
512133011124311130
6250544313145544
722123143511120
oct3205731141350
9712466531481
10224133432040
118706652a961
12375319bb2b4
131819c16618b
14abc3331c80
155c6c020bca
hex342f64c2e8

224133432040 has 128 divisors (see below), whose sum is σ = 588442268160. Its totient is φ = 75238585344.

The previous prime is 224133432031. The next prime is 224133432049. The reversal of 224133432040 is 40234331422.

It is an interprime number because it is at equal distance from previous prime (224133432031) and next prime (224133432049).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (224133432049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7211574 + ... + 7242586.

It is an arithmetic number, because the mean of its divisors is an integer number (4597205220).

Almost surely, 2224133432040 is an apocalyptic number.

224133432040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224133432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294221134080).

224133432040 is an abundant number, since it is smaller than the sum of its proper divisors (364308836120).

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

224133432040 is a wasteful number, since it uses less digits than its factorization.

224133432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31571 (or 31567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 224133432040 its reverse (40234331422), we get a palindrome (264367763462).

The spelling of 224133432040 in words is "two hundred twenty-four billion, one hundred thirty-three million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 487 530 742 974 1060 1484 1855 1948 2120 2435 2968 3409 3710 3896 4870 6818 7420 9740 13636 14840 17045 19480 25811 27272 31013 34090 51622 62026 68180 103244 124052 129055 136360 155065 180677 206488 217091 248104 258110 310130 361354 434182 516220 620260 722708 868364 903385 1032440 1085455 1240520 1445416 1643689 1736728 1806770 2170910 3287378 3613540 4341820 6574756 7227080 8218445 8683640 11505823 13149512 15103331 16436890 23011646 30206662 32873780 46023292 57529115 60413324 65747560 75516655 92046584 105723317 115058230 120826648 151033310 211446634 230116460 302066620 422893268 460232920 528616585 604133240 800476543 845786536 1057233170 1600953086 2114466340 3201906172 4002382715 4228932680 5603335801 6403812344 8004765430 11206671602 16009530860 22413343204 28016679005 32019061720 44826686408 56033358010 112066716020 224133432040