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220100423240 = 23517219039829
BaseRepresentation
bin1100110011111100000…
…0011110111001001000
3210001010011202222112102
43030333000132321020
512101231202020430
6245040203532532
721621202505015
oct3147700367110
9701104688472
10220100423240
1185386a50735
12367a722a148
13179a8758139
14a91d86870c
155ad2e2a345
hex333f01ee48

220100423240 has 48 divisors (see below), whose sum is σ = 526070502900. Its totient is φ = 82861331456.

The previous prime is 220100423233. The next prime is 220100423251. The reversal of 220100423240 is 42324001022.

220100423240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 157661408356 + 62439014884 = 397066^2 + 249878^2 .

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

It is an unprimeable number.

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, 9508355 + ... + 9531474.

Almost surely, 2220100423240 is an apocalyptic number.

220100423240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100423240 is an abundant number, since it is smaller than the sum of its proper divisors (305970079660).

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

220100423240 is a wasteful number, since it uses less digits than its factorization.

220100423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19039874 (or 19039853 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220100423240 its reverse (42324001022), we get a palindrome (262424424262).

The spelling of 220100423240 in words is "two hundred twenty billion, one hundred million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 19039829 38079658 76159316 95199145 152318632 190398290 323677093 380796580 647354186 761593160 1294708372 1618385465 2589416744 3236770930 5502510581 6473541860 11005021162 12947083720 22010042324 27512552905 44020084648 55025105810 110050211620 220100423240