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2200020480 = 2933574547
BaseRepresentation
bin1000001100100001…
…1010011000000000
312200022201121202000
42003020122120000
514001201123410
61002150024000
7105342602610
oct20310323000
95608647660
102200020480
11a29943a49
12514948000
13290a3aa88
1416c284a40
15cd222dc0
hex8321a600

2200020480 has 320 divisors, whose sum is σ = 8932999680. Its totient is φ = 502751232.

The previous prime is 2200020479. The next prime is 2200020499. The reversal of 2200020480 is 840200022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×22000204802 = 9680180224838860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481567 + ... + 486113.

It is an arithmetic number, because the mean of its divisors is an integer number (27915624).

Almost surely, 22200020480 is an apocalyptic number.

2200020480 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 2200020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466499840).

2200020480 is an abundant number, since it is smaller than the sum of its proper divisors (6732979200).

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

2200020480 is an equidigital number, since it uses as much as digits as its factorization.

2200020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2200020480 is about 46904.3759152598. The cubic root of 2200020480 is about 1300.5954826135.

The spelling of 2200020480 in words is "two billion, two hundred million, twenty thousand, four hundred eighty".