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2199420340 = 2251315975297
BaseRepresentation
bin1000001100011000…
…0111110110110100
312200021121010111121
42003012013312310
514001022422330
61002125113324
7105334523125
oct20306076664
95607533447
102199420340
11a29574067
125146b8844
1329088a870
1416c16a04c
15cd15517a
hex83187db4

2199420340 has 48 divisors (see below), whose sum is σ = 4978127952. Its totient is φ = 811431936.

The previous prime is 2199420317. The next prime is 2199420371. The reversal of 2199420340 is 430249912.

It can be written as a sum of positive squares in 8 ways, for example, as 140801956 + 2058618384 = 11866^2 + 45372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2199420296 and 2199420305.

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, 412572 + ... + 417868.

It is an arithmetic number, because the mean of its divisors is an integer number (103710999).

Almost surely, 22199420340 is an apocalyptic number.

2199420340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2199420340 is an abundant number, since it is smaller than the sum of its proper divisors (2778707612).

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

2199420340 is a wasteful number, since it uses less digits than its factorization.

2199420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2199420340 is about 46897.9779947921. The cubic root of 2199420340 is about 1300.4772094179.

The spelling of 2199420340 in words is "two billion, one hundred ninety-nine million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1597 3194 5297 6388 7985 10594 15970 20761 21188 26485 31940 41522 52970 68861 83044 103805 105940 137722 207610 275444 344305 415220 688610 1377220 8459309 16918618 33837236 42296545 84593090 109971017 169186180 219942034 439884068 549855085 1099710170 2199420340