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220032121230040 = 23571191916593023
BaseRepresentation
bin110010000001111000111000…
…011011001101001011011000
31001212001212100211212010011211
4302001320320123031023120
5212320001241013330130
62055545205553032504
764226540040313420
oct6201707033151330
91055055324763154
10220032121230040
116412210a232999
1220817848255734
1395a0c2b249ac2
143c4987bd01480
151a68818daba2a
hexc81e386cd2d8

220032121230040 has 64 divisors (see below), whose sum is σ = 565801715957760. Its totient is φ = 75438940049280.

The previous prime is 220032121229981. The next prime is 220032121230041. The reversal of 220032121230040 is 40032121230022.

It is a junction number, because it is equal to n+sod(n) for n = 220032121229993 and 220032121230020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220032121230041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30076969 + ... + 36669991.

It is an arithmetic number, because the mean of its divisors is an integer number (8840651811840).

Almost surely, 2220032121230040 is an apocalyptic number.

220032121230040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220032121230040 is an abundant number, since it is smaller than the sum of its proper divisors (345769594727720).

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

220032121230040 is a wasteful number, since it uses less digits than its factorization.

220032121230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712232 (or 6712228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 220032121230040 its reverse (40032121230022), we get a palindrome (260064242460062).

The spelling of 220032121230040 in words is "two hundred twenty trillion, thirty-two billion, one hundred twenty-one million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 119191 238382 476764 595955 834337 953528 1191910 1668674 2383820 3337348 4171685 4767640 6593023 6674696 8343370 13186046 16686740 26372092 32965115 33373480 46151161 52744184 65930230 92302322 131860460 184604644 230755805 263720920 369209288 461511610 923023220 1846046440 785829004393 1571658008786 3143316017572 3929145021965 5500803030751 6286632035144 7858290043930 11001606061502 15716580087860 22003212123004 27504015153755 31433160175720 44006424246008 55008030307510 110016060615020 220032121230040