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220246042640 = 245131491421309
BaseRepresentation
bin1100110100011110101…
…1111110100000010000
3210001111022210012210112
43031013223332200100
512102030441331030
6245102445020452
721624621321251
oct3150753764020
9701438705715
10220246042640
1185451170748
1236827b54728
13179cc982170
14a934d32b28
155ae0ae1a95
hex3347afe810

220246042640 has 80 divisors (see below), whose sum is σ = 555163686000. Its totient is φ = 80775776256.

The previous prime is 220246042609. The next prime is 220246042649. The reversal of 220246042640 is 46240642022.

220246042640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 42256558096 + 177989484544 = 205564^2 + 421888^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 220246042597 and 220246042606.

It is not an unprimeable number, because it can be changed into a prime (220246042649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555695 + ... + 865614.

It is an arithmetic number, because the mean of its divisors is an integer number (6939546075).

Almost surely, 2220246042640 is an apocalyptic number.

220246042640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220246042640 is an abundant number, since it is smaller than the sum of its proper divisors (334917643360).

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

220246042640 is a wasteful number, since it uses less digits than its factorization.

220246042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421484 (or 1421478 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 220246042640 its reverse (46240642022), we get a palindrome (266486684662).

The spelling of 220246042640 in words is "two hundred twenty billion, two hundred forty-six million, forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 149 208 260 298 520 596 745 1040 1192 1490 1937 2384 2980 3874 5960 7748 9685 11920 15496 19370 30992 38740 77480 154960 1421309 2842618 5685236 7106545 11370472 14213090 18477017 22740944 28426180 36954034 56852360 73908068 92385085 113704720 147816136 184770170 211775041 295632272 369540340 423550082 739080680 847100164 1058875205 1478161360 1694200328 2117750410 2753075533 3388400656 4235500820 5506151066 8471001640 11012302132 13765377665 16942003280 22024604264 27530755330 44049208528 55061510660 110123021320 220246042640