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232414220240 = 24517170892809
BaseRepresentation
bin1101100001110011110…
…1111000111111010000
3211012220100100200102222
43120130331320333100
512301441020021430
6254434123200212
722535304163556
oct3303475707720
9735810320388
10232414220240
118a62584a674
1239063076068
1318bbb90b657
14b36b00bbd6
1560a3ed29e5
hex361cf78fd0

232414220240 has 40 divisors (see below), whose sum is σ = 572149127880. Its totient is φ = 87497117696.

The previous prime is 232414220219. The next prime is 232414220263. The reversal of 232414220240 is 42022414232.

It can be written as a sum of positive squares in 4 ways, for example, as 131780616256 + 100633603984 = 363016^2 + 317228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85445045 + ... + 85447764.

It is an arithmetic number, because the mean of its divisors is an integer number (14303728197).

Almost surely, 2232414220240 is an apocalyptic number.

232414220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232414220240 is an abundant number, since it is smaller than the sum of its proper divisors (339734907640).

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

232414220240 is a wasteful number, since it uses less digits than its factorization.

232414220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170892839 (or 170892833 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 232414220240 its reverse (42022414232), we get a palindrome (274436634472).

The spelling of 232414220240 in words is "two hundred thirty-two billion, four hundred fourteen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 170892809 341785618 683571236 854464045 1367142472 1708928090 2734284944 2905177753 3417856180 5810355506 6835712360 11620711012 13671424720 14525888765 23241422024 29051777530 46482844048 58103555060 116207110120 232414220240