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1400224540 = 2251113895501
BaseRepresentation
bin101001101110101…
…1011101100011100
310121120202202222011
41103131123230130
510331424141130
6350535401004
746461466201
oct12335335434
93546682864
101400224540
11659432470
12330b23164
13194129a40
14d3d6dca8
1582ddb52a
hex5375bb1c

1400224540 has 96 divisors (see below), whose sum is σ = 3493990080. Its totient is φ = 464640000.

The previous prime is 1400224453. The next prime is 1400224541. The reversal of 1400224540 is 454220041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400224541) 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, 251790 + ... + 257290.

It is an arithmetic number, because the mean of its divisors is an integer number (36395730).

Almost surely, 21400224540 is an apocalyptic number.

1400224540 is a gapful number since it is divisible by the number (10) 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 1400224540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746995040).

1400224540 is an abundant number, since it is smaller than the sum of its proper divisors (2093765540).

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

1400224540 is a wasteful number, since it uses less digits than its factorization.

1400224540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1400224540 is about 37419.5742894010. The cubic root of 1400224540 is about 1118.7487461260.

Adding to 1400224540 its reverse (454220041), we get a palindrome (1854444581).

The spelling of 1400224540 in words is "one billion, four hundred million, two hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 89 110 130 143 178 220 260 286 356 445 572 715 890 979 1157 1430 1780 1958 2314 2860 3916 4628 4895 5501 5785 9790 11002 11570 12727 19580 22004 23140 25454 27505 50908 55010 60511 63635 71513 110020 121022 127270 143026 242044 254540 286052 302555 357565 489589 605110 715130 786643 979178 1210220 1430260 1573286 1958356 2447945 3146572 3933215 4895890 5385479 6364657 7866430 9791780 10770958 12729314 15732860 21541916 25458628 26927395 31823285 53854790 63646570 70011227 107709580 127293140 140022454 280044908 350056135 700112270 1400224540