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1140020224 = 2107891787
BaseRepresentation
bin100001111110011…
…0101010000000000
32221110011000202021
41003330311100000
54313321121344
6305042331224
740152004060
oct10374652000
92843130667
101140020224
1153556a082
12279959b14
131522537a5
14ab5993a0
156a13db84
hex43f35400

1140020224 has 88 divisors (see below), whose sum is σ = 2635225920. Its totient is φ = 482820096.

The previous prime is 1140020183. The next prime is 1140020227. The reversal of 1140020224 is 4220200411.

It is a super-2 number, since 2×11400202242 = 2599292222258020352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1140020198 and 1140020207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140020227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637059 + ... + 638845.

Almost surely, 21140020224 is an apocalyptic number.

1140020224 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 1140020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317612960).

1140020224 is an abundant number, since it is smaller than the sum of its proper divisors (1495205696).

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

1140020224 is an equidigital number, since it uses as much as digits as its factorization.

1140020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1140020224 is about 33764.1855225326. The cubic root of 1140020224 is about 1044.6501042357.

Adding to 1140020224 its reverse (4220200411), we get a palindrome (5360220635).

The spelling of 1140020224 in words is "one billion, one hundred forty million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 712 896 1024 1246 1424 1787 1792 2492 2848 3574 3584 4984 5696 7148 7168 9968 11392 12509 14296 19936 22784 25018 28592 39872 45568 50036 57184 79744 91136 100072 114368 159043 159488 200144 228736 318086 318976 400288 457472 636172 637952 800576 914944 1113301 1272344 1601152 1829888 2226602 2544688 3202304 4453204 5089376 6404608 8906408 10178752 12809216 17812816 20357504 35625632 40715008 71251264 81430016 142502528 162860032 285005056 570010112 1140020224