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11401222224 = 243752165129
BaseRepresentation
bin10101001111001000…
…01101100001010000
31002102120102002122210
422213210031201100
5141322203102344
65123155432120
7552350534640
oct124744154120
932376362583
1011401222224
114920769007
1222622b5640
1310c90a6352
147a22b2520
1546ade4db9
hex2a790d850

11401222224 has 80 divisors (see below), whose sum is σ = 33725877120. Its totient is φ = 3251189760.

The previous prime is 11401222223. The next prime is 11401222237. The reversal of 11401222224 is 42222210411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11401222224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401222223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142492 + ... + 207620.

It is an arithmetic number, because the mean of its divisors is an integer number (421573464).

Almost surely, 211401222224 is an apocalyptic number.

11401222224 is a gapful number since it is divisible by the number (14) 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 11401222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16862938560).

11401222224 is an abundant number, since it is smaller than the sum of its proper divisors (22324654896).

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

11401222224 is a wasteful number, since it uses less digits than its factorization.

11401222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65668 (or 65662 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11401222224 its reverse (42222210411), we get a palindrome (53623432635).

The spelling of 11401222224 in words is "eleven billion, four hundred one million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 521 1042 1563 2084 3126 3647 4168 6252 7294 8336 10941 12504 14588 21882 25008 29176 43764 58352 65129 87528 130258 175056 195387 260516 390774 455903 521032 781548 911806 1042064 1367709 1563096 1823612 2735418 3126192 3647224 5470836 7294448 10941672 21883344 33932209 67864418 101796627 135728836 203593254 237525463 271457672 407186508 475050926 542915344 712576389 814373016 950101852 1425152778 1628746032 1900203704 2850305556 3800407408 5700611112 11401222224