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2220400620 = 223354111853
BaseRepresentation
bin1000010001011000…
…1001111111101100
312201202002001001000
42010112021333230
514021410304440
61004154520300
7106011044124
oct20426117754
95652061030
102220400620
11a3a3a3939
1251b736090
13295025229
14170c6bc84
15cedeb730
hex84589fec

2220400620 has 48 divisors (see below), whose sum is σ = 6907914720. Its totient is φ = 592106688.

The previous prime is 2220400607. The next prime is 2220400621. The reversal of 2220400620 is 260040222.

It is a happy number.

2220400620 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 40 + 0 + 620 = 666.

2220400620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220400593 and 2220400602.

It is not an unprimeable number, because it can be changed into a prime (2220400621) 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, 2055387 + ... + 2056466.

It is an arithmetic number, because the mean of its divisors is an integer number (143914890).

Almost surely, 22220400620 is an apocalyptic number.

2220400620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220400620 is an abundant number, since it is smaller than the sum of its proper divisors (4687514100).

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

2220400620 is a wasteful number, since it uses less digits than its factorization.

2220400620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111871 (or 4111863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220400620 is about 47121.1271087609. The cubic root of 2220400620 is about 1304.5992163371.

Adding to 2220400620 its reverse (260040222), we get a palindrome (2480440842).

The spelling of 2220400620 in words is "two billion, two hundred twenty million, four hundred thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4111853 8223706 12335559 16447412 20559265 24671118 37006677 41118530 49342236 61677795 74013354 82237060 111020031 123355590 148026708 185033385 222040062 246711180 370066770 444080124 555100155 740133540 1110200310 2220400620