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2199461020 = 22517231372053
BaseRepresentation
bin1000001100011001…
…0001110010011100
312200021200012022021
42003012101302130
514001030223040
61002130025524
7105335052541
oct20306216234
95607605267
102199461020
11a295a1689
125147182a4
132908a3233
1416c17abc8
15cd16224a
hex83191c9c

2199461020 has 96 divisors (see below), whose sum is σ = 5142953088. Its totient is φ = 785866752.

The previous prime is 2199460987. The next prime is 2199461023. The reversal of 2199461020 is 201649912.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199461023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070314 + ... + 1072366.

It is an arithmetic number, because the mean of its divisors is an integer number (53572428).

Almost surely, 22199461020 is an apocalyptic number.

2199461020 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 2199461020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571476544).

2199461020 is an abundant number, since it is smaller than the sum of its proper divisors (2943492068).

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

2199461020 is a wasteful number, since it uses less digits than its factorization.

2199461020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2199461020 is about 46898.4117001845. The cubic root of 2199461020 is about 1300.4852271497.

The spelling of 2199461020 in words is "two billion, one hundred ninety-nine million, four hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 137 170 230 274 340 391 460 548 685 782 1370 1564 1955 2053 2329 2740 3151 3910 4106 4658 6302 7820 8212 9316 10265 11645 12604 15755 20530 23290 31510 34901 41060 46580 47219 53567 63020 69802 94438 107134 139604 174505 188876 214268 236095 267835 281261 349010 472190 535670 562522 698020 802723 944380 1071340 1125044 1406305 1605446 2812610 3210892 4013615 4781437 5625220 6469003 8027230 9562874 12938006 16054460 19125748 23907185 25876012 32345015 47814370 64690030 95628740 109973051 129380060 219946102 439892204 549865255 1099730510 2199461020