Search a number
-
+
240220002256731 = 32717390647574163
BaseRepresentation
bin110110100111101010010011…
…111001110000011101011011
31011111112210210222121200021200
4312213222103321300131123
5222441231031034203411
62210523313501405243
7101412215410611540
oct6647522371603533
91144483728550250
10240220002256731
116a5a580482a102
1222b382b4869823
13a406858b60683
1443469d28d2bc7
151cb8a18294e56
hexda7a93e7075b

240220002256731 has 48 divisors (see below), whose sum is σ = 419882146205184. Its totient is φ = 129193395063552.

The previous prime is 240220002256699. The next prime is 240220002256763. The reversal of 240220002256731 is 137652200022042.

240220002256731 is a `hidden beast` number, since 2 + 40 + 2 + 2 + 0 + 0 + 0 + 22 + 567 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (240220002256699) and next prime (240220002256763).

It is not a de Polignac number, because 240220002256731 - 25 = 240220002256699 is a prime.

It is a super-2 number, since 2×2402200022567312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240220002256781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418095856 + ... + 418670018.

It is an arithmetic number, because the mean of its divisors is an integer number (8747544712608).

Almost surely, 2240220002256731 is an apocalyptic number.

240220002256731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

240220002256731 is a deficient number, since it is larger than the sum of its proper divisors (179662143948453).

240220002256731 is a wasteful number, since it uses less digits than its factorization.

240220002256731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964840 (or 964837 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 240220002256731 its reverse (137652200022042), we get a palindrome (377872202278773).

The spelling of 240220002256731 in words is "two hundred forty trillion, two hundred twenty billion, two million, two hundred fifty-six thousand, seven hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 390647 574163 1171941 1722489 2734529 3515823 4019141 5167467 6640999 8203587 9760771 12057423 19922997 24610761 29282313 36172269 46486993 59768991 68325397 87846939 139460979 204976191 418382937 614928573 224295053461 672885160383 1570065374227 2018655481149 3813015908837 4710196122681 11439047726511 14130588368043 26691111361859 34317143179533 80073334085577 240220002256731