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2299122144 = 25351126879
BaseRepresentation
bin1000100100001001…
…1101000111100000
312221020012111200000
42021002131013200
514202033402034
61020050100000
7110655134004
oct21102350740
95836174600
102299122144
11a7a881550
12541b7a600
132a8428707
1417b4c0704
15d6c9b599
hex8909d1e0

2299122144 has 144 divisors (see below), whose sum is σ = 7396945920. Its totient is φ = 696677760.

The previous prime is 2299122131. The next prime is 2299122157. The reversal of 2299122144 is 4412219922.

It is an interprime number because it is at equal distance from previous prime (2299122131) and next prime (2299122157).

It is a tau number, because it is divible by the number of its divisors (144).

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 a junction number, because it is equal to n+sod(n) for n = 2299122099 and 2299122108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72097 + ... + 98975.

It is an arithmetic number, because the mean of its divisors is an integer number (51367680).

Almost surely, 22299122144 is an apocalyptic number.

2299122144 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 2299122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

2299122144 is an abundant number, since it is smaller than the sum of its proper divisors (5097823776).

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

2299122144 is a wasteful number, since it uses less digits than its factorization.

2299122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26915 (or 26895 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2299122144 is about 47949.1620781844. The cubic root of 2299122144 is about 1319.8381619769.

The spelling of 2299122144 in words is "two billion, two hundred ninety-nine million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 9504 10692 14256 21384 26879 28512 42768 53758 80637 85536 107516 161274 215032 241911 295669 322548 430064 483822 591338 645096 725733 860128 887007 967644 1182676 1290192 1451466 1774014 1935288 2177199 2365352 2580384 2661021 2902932 3548028 3870576 4354398 4730704 5322042 5805864 6531597 7096056 7741152 7983063 8708796 9461408 10644084 11611728 13063194 14192112 15966126 17417592 21288168 23223456 23949189 26126388 28384224 31932252 34835184 42576336 47898378 52252776 63864504 69670368 71847567 85152672 95796756 104505552 127729008 143695134 191593512 209011104 255458016 287390268 383187024 574780536 766374048 1149561072 2299122144