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2252360440 = 235116776403
BaseRepresentation
bin1000011001000000…
…0100101011111000
312210222012202200001
42012100010223320
514103101013230
61011255522344
7106546514341
oct20620045370
95728182601
102252360440
11a56442810
1252a3893b4
1329b835275
141751cb0c8
15d2b110ca
hex86404af8

2252360440 has 64 divisors (see below), whose sum is σ = 5611109760. Its totient is φ = 806805120.

The previous prime is 2252360423. The next prime is 2252360449. The reversal of 2252360440 is 440632522.

It is a junction number, because it is equal to n+sod(n) for n = 2252360399 and 2252360408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252360449) 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, 8722 + ... + 67681.

It is an arithmetic number, because the mean of its divisors is an integer number (87673590).

Almost surely, 22252360440 is an apocalyptic number.

2252360440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252360440 is an abundant number, since it is smaller than the sum of its proper divisors (3358749320).

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

2252360440 is a wasteful number, since it uses less digits than its factorization.

2252360440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76492 (or 76488 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2252360440 is about 47459.0396025878. The cubic root of 2252360440 is about 1310.8287667954.

Adding to 2252360440 its reverse (440632522), we get a palindrome (2692992962).

The spelling of 2252360440 in words is "two billion, two hundred fifty-two million, three hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 5896 7370 14740 29480 76403 152806 305612 382015 611224 764030 840433 1528060 1680866 3056120 3361732 4202165 5119001 6723464 8404330 10238002 16808660 20476004 25595005 33617320 40952008 51190010 56309011 102380020 112618022 204760040 225236044 281545055 450472088 563090110 1126180220 2252360440