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2240422040 = 23541712271
BaseRepresentation
bin1000010110001010…
…0010000010011000
312210010202020021002
42011202202002120
514042022001130
61010152004132
7106343162453
oct20542420230
95703666232
102240422040
11a4a72926a
12526390648
1329921531c
141737a049a
15d1a53b45
hex858a2098

2240422040 has 96 divisors (see below), whose sum is σ = 5256982080. Its totient is φ = 858816000.

The previous prime is 2240422033. The next prime is 2240422043. The reversal of 2240422040 is 402240422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240422043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8267105 + ... + 8267375.

It is an arithmetic number, because the mean of its divisors is an integer number (54760230).

Almost surely, 22240422040 is an apocalyptic number.

2240422040 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 2240422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628491040).

2240422040 is an abundant number, since it is smaller than the sum of its proper divisors (3016560040).

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

2240422040 is a wasteful number, since it uses less digits than its factorization.

2240422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240422040 is about 47333.0966660750. The cubic root of 2240422040 is about 1308.5086927738.

Adding to 2240422040 its reverse (402240422), we get a palindrome (2642662462).

It can be divided in two parts, 22404 and 22040, that added together give a palindrome (44444).

The spelling of 2240422040 in words is "two billion, two hundred forty million, four hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 71 82 142 164 205 271 284 328 355 410 542 568 710 820 1084 1355 1420 1640 2168 2710 2840 2911 5041 5420 5822 10082 10840 11111 11644 14555 19241 20164 22222 23288 25205 29110 38482 40328 44444 50410 55555 58220 76964 88888 96205 100820 111110 116440 153928 192410 201640 206681 222220 384820 413362 444440 769640 788881 826724 1033405 1366111 1577762 1653448 2066810 2732222 3155524 3944405 4133620 5464444 6311048 6830555 7888810 8267240 10928888 13661110 15777620 27322220 31555240 54644440 56010551 112021102 224042204 280052755 448084408 560105510 1120211020 2240422040