Search a number
-
+
202211400040 = 23513229912929
BaseRepresentation
bin1011110001010010111…
…1010001100101101000
3201022221110102110001121
42330110233101211220
511303112104300130
6232521124025024
720415662353306
oct2742457214550
9638843373047
10202211400040
1178837077841
1233234232174
13160b7512700
149b03a89276
1553d7693d7a
hex2f14bd1968

202211400040 has 48 divisors (see below), whose sum is σ = 492665957100. Its totient is φ = 74662668288.

The previous prime is 202211400037. The next prime is 202211400043. The reversal of 202211400040 is 40004112202.

202211400040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202211400037) and next prime (202211400043).

It can be written as a sum of positive squares in 6 ways, for example, as 461304484 + 201750095556 = 21478^2 + 449166^2 .

It is a super-2 number, since 2×2022114000402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202211399987 and 202211400023.

It is not an unprimeable number, because it can be changed into a prime (202211400043) 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 11 ways as a sum of consecutive naturals, for example, 14949705 + ... + 14963224.

Almost surely, 2202211400040 is an apocalyptic number.

202211400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202211400040 is an abundant number, since it is smaller than the sum of its proper divisors (290454557060).

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

202211400040 is a wasteful number, since it uses less digits than its factorization.

202211400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29912966 (or 29912949 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202211400040 its reverse (40004112202), we get a palindrome (242215512242).

The spelling of 202211400040 in words is "two hundred two billion, two hundred eleven million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 29912929 59825858 119651716 149564645 239303432 299129290 388868077 598258580 777736154 1196517160 1555472308 1944340385 3110944616 3888680770 5055285001 7777361540 10110570002 15554723080 20221140004 25276425005 40442280008 50552850010 101105700020 202211400040