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221001000020 = 225194313525153
BaseRepresentation
bin1100110111010010101…
…1111010010001010100
3210010102221101000121222
43031310223322101110
512110102224000040
6245305414225512
721652416335213
oct3156453722124
9703387330558
10221001000020
11857a9337369
12369b8955298
1317ac01c41c8
14a9a72d507a
155b3701cbb5
hex3374afa454

221001000020 has 48 divisors (see below), whose sum is σ = 499889691840. Its totient is φ = 81800119296.

The previous prime is 221000999983. The next prime is 221001000029. The reversal of 221001000020 is 20000100122.

221001000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221000999971 and 221001000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001000029) 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, 6746237 + ... + 6778916.

It is an arithmetic number, because the mean of its divisors is an integer number (10414368580).

Almost surely, 2221001000020 is an apocalyptic number.

221001000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001000020 is an abundant number, since it is smaller than the sum of its proper divisors (278888691820).

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

221001000020 is a wasteful number, since it uses less digits than its factorization.

221001000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13525224 (or 13525222 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 221001000020 its reverse (20000100122), we get a palindrome (241001100142).

The spelling of 221001000020 in words is "two hundred twenty-one billion, one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 16340 13525153 27050306 54100612 67625765 135251530 256977907 270503060 513955814 581581579 1027911628 1163163158 1284889535 2326326316 2569779070 2907907895 5139558140 5815815790 11050050001 11631631580 22100100002 44200200004 55250250005 110500500010 221001000020