Search a number
-
+
240032022420 = 223527114762117
BaseRepresentation
bin1101111110001100000…
…1011111111110010100
3211221120020121010111110
43133203001133332110
512413041144204140
6302134051135020
723225134345431
oct3374301377624
9757506533443
10240032022420
1192884901153
123a62a2a4470
1319833c040c8
14b890a26b88
15639cb84380
hex37e305ff94

240032022420 has 48 divisors (see below), whose sum is σ = 674569744128. Its totient is φ = 63772341120.

The previous prime is 240032022389. The next prime is 240032022431. The reversal of 240032022420 is 24220230042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7364799 + ... + 7397318.

It is an arithmetic number, because the mean of its divisors is an integer number (14053536336).

Almost surely, 2240032022420 is an apocalyptic number.

240032022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240032022420 is an abundant number, since it is smaller than the sum of its proper divisors (434537721708).

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

240032022420 is a wasteful number, since it uses less digits than its factorization.

240032022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762400 (or 14762398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 240032022420 its reverse (24220230042), we get a palindrome (264252252462).

The spelling of 240032022420 in words is "two hundred forty billion, thirty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 271 542 813 1084 1355 1626 2710 3252 4065 5420 8130 16260 14762117 29524234 44286351 59048468 73810585 88572702 147621170 177145404 221431755 295242340 442863510 885727020 4000533707 8001067414 12001601121 16002134828 20002668535 24003202242 40005337070 48006404484 60008005605 80010674140 120016011210 240032022420