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2200000020 = 2235374432237
BaseRepresentation
bin1000001100100001…
…0101011000010100
312200022200120200020
42003020111120110
514001200000040
61002145345140
7105342456141
oct20310253024
95608616606
102200000020
11a2992a639
125149381b0
13290a3167a
1416c27b3c8
15cd21bcd0
hex83215614

2200000020 has 96 divisors (see below), whose sum is σ = 6343602048. Its totient is φ = 569267712.

The previous prime is 2200000009. The next prime is 2200000031. The reversal of 2200000020 is 200000022.

It is an interprime number because it is at equal distance from previous prime (2200000009) and next prime (2200000031).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2199999954 and 2200000008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982342 + ... + 984578.

It is an arithmetic number, because the mean of its divisors is an integer number (66079188).

Almost surely, 22200000020 is an apocalyptic number.

2200000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171801024).

2200000020 is an abundant number, since it is smaller than the sum of its proper divisors (4143602028).

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

2200000020 is a wasteful number, since it uses less digits than its factorization.

2200000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2200000020 is about 46904.1578114350. The cubic root of 2200000020 is about 1300.5914507926.

Adding to 2200000020 its reverse (200000022), we get a palindrome (2400000042).

The spelling of 2200000020 in words is "two billion, two hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 443 444 555 740 886 1110 1329 1772 2215 2220 2237 2658 4430 4474 5316 6645 6711 8860 8948 11185 13290 13422 16391 22370 26580 26844 32782 33555 44740 49173 65564 67110 81955 82769 98346 134220 163910 165538 196692 245865 248307 327820 331076 413845 491730 496614 827690 983460 990991 993228 1241535 1655380 1981982 2483070 2972973 3963964 4954955 4966140 5945946 9909910 11891892 14864865 19819820 29729730 36666667 59459460 73333334 110000001 146666668 183333335 220000002 366666670 440000004 550000005 733333340 1100000010 2200000020