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20220120340 = 22571922733487
BaseRepresentation
bin10010110101001101…
…101000110100010100
31221012011201112120221
4102311031220310110
5312402322322330
613142231204124
71314034121110
oct226515506424
957164645527
1020220120340
118636804762
123b03816644
131ba3188064
14d9b624740
157d524bb7a
hex4b5368d14

20220120340 has 96 divisors (see below), whose sum is σ = 51308974080. Its totient is φ = 6538610304.

The previous prime is 20220120329. The next prime is 20220120367. The reversal of 20220120340 is 4302102202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587077 + ... + 620563.

It is an arithmetic number, because the mean of its divisors is an integer number (534468480).

Almost surely, 220220120340 is an apocalyptic number.

20220120340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25654487040).

20220120340 is an abundant number, since it is smaller than the sum of its proper divisors (31088853740).

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

20220120340 is a wasteful number, since it uses less digits than its factorization.

20220120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33749 (or 33747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20220120340 its reverse (4302102202), we get a palindrome (24522222542).

The spelling of 20220120340 in words is "twenty billion, two hundred twenty million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 227 266 380 454 532 665 908 1135 1330 1589 2270 2660 3178 4313 4540 6356 7945 8626 15890 17252 21565 30191 31780 33487 43130 60382 66974 86260 120764 133948 150955 167435 234409 301910 334870 468818 603820 636253 669740 937636 1172045 1272506 2344090 2545012 3181265 4453771 4688180 6362530 7601549 8907542 12725060 15203098 17815084 22268855 30406196 38007745 44537710 53210843 76015490 89075420 106421686 144429431 152030980 212843372 266054215 288858862 532108430 577717724 722147155 1011006017 1064216860 1444294310 2022012034 2888588620 4044024068 5055030085 10110060170 20220120340