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230637540 = 223571015437
BaseRepresentation
bin11011011111100…
…11111111100100
3121001222121020010
431233303333210
5433020400130
634515210220
75500246440
oct1557637744
9531877203
10230637540
11109209441
12652a6970
1338a23523
14228b9820
15153ac0b0
hexdbf3fe4

230637540 has 96 divisors (see below), whose sum is σ = 745484544. Its totient is φ = 52185600.

The previous prime is 230637499. The next prime is 230637581. The reversal of 230637540 is 45736032.

230637540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230637499) and next prime (230637581).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230637498 and 230637507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39702 + ... + 45138.

It is an arithmetic number, because the mean of its divisors is an integer number (7765464).

Almost surely, 2230637540 is an apocalyptic number.

230637540 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 230637540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372742272).

230637540 is an abundant number, since it is smaller than the sum of its proper divisors (514847004).

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

230637540 is a wasteful number, since it uses less digits than its factorization.

230637540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 230637540 is about 15186.7554138466. The cubic root of 230637540 is about 613.2581554307.

It can be divided in two parts, 23063 and 7540, that added together give a palindrome (30603).

The spelling of 230637540 in words is "two hundred thirty million, six hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3535 4242 5437 6060 7070 8484 10605 10874 14140 16311 21210 21748 27185 32622 38059 42420 54370 65244 76118 81555 108740 114177 152236 163110 190295 228354 326220 380590 456708 549137 570885 761180 1098274 1141770 1647411 2196548 2283540 2745685 3294822 3843959 5491370 6589644 7687918 8237055 10982740 11531877 15375836 16474110 19219795 23063754 32948220 38439590 46127508 57659385 76879180 115318770 230637540