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2225420120 = 235711722539
BaseRepresentation
bin1000010010100101…
…0011011101011000
312202002112001111102
42010221103131120
514024201420440
61004454250532
7106101521210
oct20451233530
95662461442
102225420120
11a42212090
12521356a48
13296091b51
141717b7240
15d058db15
hex84a53758

2225420120 has 64 divisors (see below), whose sum is σ = 6242745600. Its totient is φ = 693636480.

The previous prime is 2225420107. The next prime is 2225420129. The reversal of 2225420120 is 210245222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2225420092 and 2225420101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225420129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358190 + ... + 364349.

It is an arithmetic number, because the mean of its divisors is an integer number (97542900).

Almost surely, 22225420120 is an apocalyptic number.

2225420120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225420120 is an abundant number, since it is smaller than the sum of its proper divisors (4017325480).

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

2225420120 is a wasteful number, since it uses less digits than its factorization.

2225420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722568 (or 722564 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2225420120 is about 47174.3587131823. The cubic root of 2225420120 is about 1305.5815476890.

Adding to 2225420120 its reverse (210245222), we get a palindrome (2435665342).

The spelling of 2225420120 in words is "two billion, two hundred twenty-five million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 722539 1445078 2890156 3612695 5057773 5780312 7225390 7947929 10115546 14450780 15895858 20231092 25288865 28901560 31791716 39739645 40462184 50577730 55635503 63583432 79479290 101155460 111271006 158958580 202310920 222542012 278177515 317917160 445084024 556355030 1112710060 2225420120