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202230121340 = 225132967400313
BaseRepresentation
bin1011110001010111011…
…0101100001101111100
3201022222202122120212002
42330111312230031330
511303131402340330
6232523033201432
720416310445332
oct2742566541574
9638882576762
10202230121340
11788466a4395
123323a560278
13160bb368ac0
149b0635db52
1553d9140e45
hex2f15dac37c

202230121340 has 96 divisors (see below), whose sum is σ = 480184649280. Its totient is φ = 71018551296.

The previous prime is 202230121339. The next prime is 202230121363. The reversal of 202230121340 is 43121032202.

It is a super-2 number, since 2×2022301213402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 305024 + ... + 705336.

It is an arithmetic number, because the mean of its divisors is an integer number (5001923430).

Almost surely, 2202230121340 is an apocalyptic number.

202230121340 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 202230121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240092324640).

202230121340 is an abundant number, since it is smaller than the sum of its proper divisors (277954527940).

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

202230121340 is a wasteful number, since it uses less digits than its factorization.

202230121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400431 (or 400429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202230121340 its reverse (43121032202), we get a palindrome (245351153542).

The spelling of 202230121340 in words is "two hundred two billion, two hundred thirty million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 67 116 130 134 145 260 268 290 335 377 580 670 754 871 1340 1508 1742 1885 1943 3484 3770 3886 4355 7540 7772 8710 9715 17420 19430 25259 38860 50518 101036 126295 252590 400313 505180 800626 1601252 2001565 4003130 5204069 8006260 10408138 11609077 20816276 23218154 26020345 26820971 46436308 52040690 53641942 58045385 104081380 107283884 116090770 134104855 150918001 232181540 268209710 301836002 348672623 536419420 603672004 697345246 754590005 777808159 1394690492 1509180010 1555616318 1743363115 3018360020 3111232636 3486726230 3889040795 6973452460 7778081590 10111506067 15556163180 20223012134 40446024268 50557530335 101115060670 202230121340