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2199535104 = 29313591867
BaseRepresentation
bin1000001100011010…
…0011111000000000
312200021210221221010
42003012203320000
514001040110404
61002131400520
7105335511534
oct20306437000
95607727833
102199535104
11a29642308
12514753140
132908cab80
1416c199bc4
15cd179189
hex831a3e00

2199535104 has 160 divisors (see below), whose sum is σ = 6420839040. Its totient is φ = 664952832.

The previous prime is 2199535099. The next prime is 2199535111. The reversal of 2199535104 is 4015359912.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 1177179 + ... + 1179045.

It is an arithmetic number, because the mean of its divisors is an integer number (40130244).

Almost surely, 22199535104 is an apocalyptic number.

2199535104 is a gapful number since it is divisible by the number (24) 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 2199535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210419520).

2199535104 is an abundant number, since it is smaller than the sum of its proper divisors (4221303936).

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

2199535104 is a wasteful number, since it uses less digits than its factorization.

2199535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 2199535104 is about 46899.2015283843. The cubic root of 2199535104 is about 1300.4998283125.

The spelling of 2199535104 in words is "two billion, one hundred ninety-nine million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 128 156 177 192 208 236 256 312 354 384 416 472 512 624 708 767 768 832 944 1248 1416 1534 1536 1664 1867 1888 2301 2496 2832 3068 3328 3734 3776 4602 4992 5601 5664 6136 6656 7468 7552 9204 9984 11202 11328 12272 14936 15104 18408 19968 22404 22656 24271 24544 29872 30208 36816 44808 45312 48542 49088 59744 72813 73632 89616 90624 97084 98176 110153 119488 145626 147264 179232 194168 196352 220306 238976 291252 294528 330459 358464 388336 392704 440612 477952 582504 589056 660918 716928 776672 881224 955904 1165008 1178112 1321836 1431989 1433856 1553344 1762448 2330016 2643672 2863978 2867712 3106688 3524896 4295967 4660032 5287344 5727956 6213376 7049792 8591934 9320064 10574688 11455912 12426752 14099584 17183868 18640128 21149376 22911824 28199168 34367736 37280256 42298752 45823648 56398336 68735472 84597504 91647296 137470944 169195008 183294592 274941888 366589184 549883776 733178368 1099767552 2199535104