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214831540 = 225711139501
BaseRepresentation
bin11001100111000…
…01000110110100
3112222020120110201
430303201012310
5414444102130
633152330244
75216016010
oct1463410664
9488216421
10214831540
111002a3130
125bb43984
133567b071
1420763540
1513cd8bca
hexcce11b4

214831540 has 48 divisors (see below), whose sum is σ = 562472064. Its totient is φ = 66960000.

The previous prime is 214831531. The next prime is 214831543. The reversal of 214831540 is 45138412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 214831499 and 214831508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214831543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68211 + ... + 71290.

It is an arithmetic number, because the mean of its divisors is an integer number (11718168).

Almost surely, 2214831540 is an apocalyptic number.

214831540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214831540 is an abundant number, since it is smaller than the sum of its proper divisors (347640524).

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

214831540 is a wasteful number, since it uses less digits than its factorization.

214831540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139528 (or 139526 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 214831540 is about 14657.1327346108. The cubic root of 214831540 is about 598.9161358357.

Adding to 214831540 its reverse (45138412), we get a palindrome (259969952).

The spelling of 214831540 in words is "two hundred fourteen million, eight hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 139501 279002 558004 697505 976507 1395010 1534511 1953014 2790020 3069022 3906028 4882535 6138044 7672555 9765070 10741577 15345110 19530140 21483154 30690220 42966308 53707885 107415770 214831540