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2243098980 = 223551034481
BaseRepresentation
bin1000010110110010…
…1111100101100100
312210022210020100000
42011230233211210
514043213131410
61010325221300
7106405012113
oct20554574544
95708706300
102243098980
11a51197511
12527261830
13299941905
14173c99c7a
15d1dd1dc0
hex85b2f964

2243098980 has 144 divisors (see below), whose sum is σ = 7126164864. Its totient is φ = 592220160.

The previous prime is 2243098939. The next prime is 2243098981. The reversal of 2243098980 is 898903422.

2243098980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2243098981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498340 + ... + 502820.

It is an arithmetic number, because the mean of its divisors is an integer number (49487256).

Almost surely, 22243098980 is an apocalyptic number.

2243098980 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 2243098980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563082432).

2243098980 is an abundant number, since it is smaller than the sum of its proper divisors (4883065884).

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

2243098980 is a wasteful number, since it uses less digits than its factorization.

2243098980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2243098980 is about 47361.3659009113. The cubic root of 2243098980 is about 1309.0296370470.

It can be divided in two parts, 224309 and 8980, that added together give a square (233289 = 4832).

The spelling of 2243098980 in words is "two billion, two hundred forty-three million, ninety-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 243 270 309 324 405 412 486 515 540 618 810 927 972 1030 1215 1236 1545 1620 1854 2060 2430 2781 3090 3708 4481 4635 4860 5562 6180 8343 8962 9270 11124 13443 13905 16686 17924 18540 22405 25029 26886 27810 33372 40329 41715 44810 50058 53772 55620 67215 80658 83430 89620 100116 120987 125145 134430 161316 166860 201645 241974 250290 268860 362961 403290 461543 483948 500580 604935 725922 806580 923086 1088883 1209870 1384629 1451844 1814805 1846172 2177766 2307715 2419740 2769258 3629610 4153887 4355532 4615430 5444415 5538516 6923145 7259220 8307774 9230860 10888830 12461661 13846290 16615548 20769435 21777660 24923322 27692580 37384983 41538870 49846644 62308305 74769966 83077740 112154949 124616610 149539932 186924915 224309898 249233220 373849830 448619796 560774745 747699660 1121549490 2243098980