Search a number
-
+
10222000020 = 2232556788889
BaseRepresentation
bin10011000010100011…
…10101011110010100
3222101101111101220100
421201101311132110
5131413313000040
64410152534100
7511211365221
oct114121653624
928341441810
1010222000020
114376063a01
121b933b1330
13c6b9a832b
146cd830948
153ec610b30
hex261475794

10222000020 has 36 divisors (see below), whose sum is σ = 31006733940. Its totient is φ = 2725866624.

The previous prime is 10222000013. The next prime is 10222000049. The reversal of 10222000020 is 2000022201.

It can be written as a sum of positive squares in 2 ways, for example, as 5501485584 + 4720514436 = 74172^2 + 68706^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10221999966 and 10222000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28394265 + ... + 28394624.

It is an arithmetic number, because the mean of its divisors is an integer number (861298165).

Almost surely, 210222000020 is an apocalyptic number.

10222000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222000020 is an abundant number, since it is smaller than the sum of its proper divisors (20784733920).

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

10222000020 is a wasteful number, since it uses less digits than its factorization.

10222000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56788904 (or 56788899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10222000020 its reverse (2000022201), we get a palindrome (12222022221).

The spelling of 10222000020 in words is "ten billion, two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56788889 113577778 170366667 227155556 283944445 340733334 511100001 567888890 681466668 851833335 1022200002 1135777780 1703666670 2044400004 2555500005 3407333340 5111000010 10222000020