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2252670300 = 22325210922963
BaseRepresentation
bin1000011001000101…
…0000010101011100
312210222210111201100
42012101100111130
514103140422200
61011310313100
7106552244616
oct20621202534
95728714640
102252670300
11a566345a1
1252a4b8790
1329b91330a
1417526bdb6
15d2b72d00
hex8645055c

2252670300 has 108 divisors (see below), whose sum is σ = 7125958840. Its totient is φ = 595175040.

The previous prime is 2252670253. The next prime is 2252670317. The reversal of 2252670300 is 30762522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86619 + ... + 109581.

Almost surely, 22252670300 is an apocalyptic number.

2252670300 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 2252670300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562979420).

2252670300 is an abundant number, since it is smaller than the sum of its proper divisors (4873288540).

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

2252670300 is a wasteful number, since it uses less digits than its factorization.

2252670300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23092 (or 23082 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2252670300 is about 47462.3039895874. The cubic root of 2252670300 is about 1310.8888748152. Note that the first 4 decimals are identical.

The spelling of 2252670300 in words is "two billion, two hundred fifty-two million, six hundred seventy thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3924 4905 5450 6540 8175 9810 10900 16350 19620 22963 24525 32700 45926 49050 68889 91852 98100 114815 137778 206667 229630 275556 344445 413334 459260 574075 688890 826668 1033335 1148150 1377780 1722225 2066670 2296300 2502967 3444450 4133340 5005934 5166675 6888900 7508901 10011868 10333350 12514835 15017802 20666700 22526703 25029670 30035604 37544505 45053406 50059340 62574175 75089010 90106812 112633515 125148350 150178020 187722525 225267030 250296700 375445050 450534060 563167575 750890100 1126335150 2252670300