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2253421000 = 235331157463
BaseRepresentation
bin1000011001010000…
…0111100111001000
312211001012122111001
42012110013213020
514103333433000
61011334344344
7106561522345
oct20624074710
95731178431
102253421000
11a56aa7606
1252a7bb0b4
1329bb16c0c
141753c57cc
15d2c7046a
hex865079c8

2253421000 has 128 divisors (see below), whose sum is σ = 5489602560. Its totient is φ = 864864000.

The previous prime is 2253420991. The next prime is 2253421003. The reversal of 2253421000 is 1243522.

It is a super-5 number, since 5×22534210005 (a number of 48 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (2253421003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4866769 + ... + 4867231.

It is an arithmetic number, because the mean of its divisors is an integer number (42887520).

Almost surely, 22253421000 is an apocalyptic number.

2253421000 is a gapful number since it is divisible by the number (20) 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 2253421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744801280).

2253421000 is an abundant number, since it is smaller than the sum of its proper divisors (3236181560).

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

2253421000 is a wasteful number, since it uses less digits than its factorization.

2253421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2253421000 is about 47470.2117121885. The cubic root of 2253421000 is about 1311.0344760872.

Adding to 2253421000 its reverse (1243522), we get a palindrome (2254664522).

It can be divided in two parts, 22534 and 21000, that added together give a palindrome (43534).

The spelling of 2253421000 in words is "two billion, two hundred fifty-three million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 157 200 248 250 310 314 463 500 620 628 775 785 926 1000 1240 1256 1550 1570 1852 2315 3100 3140 3704 3875 3925 4630 4867 6200 6280 7750 7850 9260 9734 11575 14353 15500 15700 18520 19468 19625 23150 24335 28706 31000 31400 38936 39250 46300 48670 57412 57875 71765 72691 78500 92600 97340 114824 115750 121675 143530 145382 157000 194680 231500 243350 287060 290764 358825 363455 463000 486700 574120 581528 608375 717650 726910 973400 1216750 1435300 1453820 1794125 1817275 2253421 2433500 2870600 2907640 3588250 3634550 4506842 4867000 7176500 7269100 9013684 9086375 11267105 14353000 14538200 18027368 18172750 22534210 36345500 45068420 56335525 72691000 90136840 112671050 225342100 281677625 450684200 563355250 1126710500 2253421000