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2172222864 = 2432719710939
BaseRepresentation
bin1000000101111001…
…0111110110010000
312121101102100120200
42001132113312100
513422042112424
6555314135200
7104554406160
oct20136276620
95541370520
102172222864
11a15188209
12507581500
13288057396
141686ca5a0
15caa818c9
hex81797d90

2172222864 has 120 divisors (see below), whose sum is σ = 6983570880. Its totient is φ = 617428224.

The previous prime is 2172222863. The next prime is 2172222869. The reversal of 2172222864 is 4682222712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2172222863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193107 + ... + 204045.

It is an arithmetic number, because the mean of its divisors is an integer number (58196424).

Almost surely, 22172222864 is an apocalyptic number.

2172222864 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 2172222864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491785440).

2172222864 is an abundant number, since it is smaller than the sum of its proper divisors (4811348016).

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

2172222864 is a wasteful number, since it uses less digits than its factorization.

2172222864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11148 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2172222864 is about 46607.1117320093. Note that the first 3 decimals coincide. The cubic root of 2172222864 is about 1295.0945035211.

It can be divided in two parts, 217 and 2222864, that added together give a square (2223081 = 14912).

The spelling of 2172222864 in words is "two billion, one hundred seventy-two million, two hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 197 252 336 394 504 591 788 1008 1182 1379 1576 1773 2364 2758 3152 3546 4137 4728 5516 7092 8274 9456 10939 11032 12411 14184 16548 21878 22064 24822 28368 32817 33096 43756 49644 65634 66192 76573 87512 98451 99288 131268 153146 175024 196902 198576 229719 262536 306292 393804 459438 525072 612584 689157 787608 918876 1225168 1378314 1575216 1837752 2154983 2756628 3675504 4309966 5513256 6464949 8619932 11026512 12929898 15084881 17239864 19394847 25859796 30169762 34479728 38789694 45254643 51719592 60339524 77579388 90509286 103439184 120679048 135763929 155158776 181018572 241358096 271527858 310317552 362037144 543055716 724074288 1086111432 2172222864