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1002225400220 = 2251131146953871
BaseRepresentation
bin11101001010110010100…
…10011111100110011100
310112210220210220110200102
432211121102133212130
5112410024200301340
62044225504320232
7132260036225222
oct16453122374634
93483823813612
101002225400220
11357050124030
121422a3313078
13736813515c5
1436717c16b12
151b10bcee215
hexe95949f99c

1002225400220 has 48 divisors (see below), whose sum is σ = 2370072047616. Its totient is φ = 352689288000.

The previous prime is 1002225400207. The next prime is 1002225400259. The reversal of 1002225400220 is 220045222001.

It is a super-2 number, since 2×10022254002202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002225400192 and 1002225400201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73470116 + ... + 73483755.

It is an arithmetic number, because the mean of its divisors is an integer number (49376500992).

Almost surely, 21002225400220 is an apocalyptic number.

1002225400220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002225400220 is an abundant number, since it is smaller than the sum of its proper divisors (1367846647396).

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

1002225400220 is a wasteful number, since it uses less digits than its factorization.

1002225400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146953922 (or 146953920 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 1002225400220 in words is "one trillion, two billion, two hundred twenty-five million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 146953871 293907742 587815484 734769355 1469538710 1616492581 2939077420 3232985162 4555570001 6465970324 8082462905 9111140002 16164925810 18222280004 22777850005 32329851620 45555700010 50111270011 91111400020 100222540022 200445080044 250556350055 501112700110 1002225400220