Search a number
-
+
2234210300 = 2252731149691
BaseRepresentation
bin1000010100101011…
…0101011111111100
312202201001122100122
42011022311133330
514033424212200
61005410514112
7106236321440
oct20512653774
95681048318
102234210300
11a471762a3
12524295938
13297b4bb3a
14172a24820
15d1228385
hex852b57fc

2234210300 has 144 divisors (see below), whose sum is σ = 5766297600. Its totient is φ = 735264000.

The previous prime is 2234210281. The next prime is 2234210309. The reversal of 2234210300 is 30124322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234210309) 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, 3232955 + ... + 3233645.

Almost surely, 22234210300 is an apocalyptic number.

2234210300 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 2234210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883148800).

2234210300 is an abundant number, since it is smaller than the sum of its proper divisors (3532087300).

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

2234210300 is a wasteful number, since it uses less digits than its factorization.

2234210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2234210300 is about 47267.4338207608. The cubic root of 2234210300 is about 1307.2982602194.

Adding to 2234210300 its reverse (30124322), we get a palindrome (2264334622).

The spelling of 2234210300 in words is "two billion, two hundred thirty-four million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 149 155 175 217 298 310 350 434 596 620 691 700 745 775 868 1043 1085 1382 1490 1550 2086 2170 2764 2980 3100 3455 3725 4172 4340 4619 4837 5215 5425 6910 7450 9238 9674 10430 10850 13820 14900 17275 18476 19348 20860 21421 21700 23095 24185 26075 32333 34550 42842 46190 48370 52150 64666 69100 85684 92380 96740 102959 104300 107105 115475 120925 129332 149947 161665 205918 214210 230950 241850 299894 323330 411836 428420 461900 483700 514795 535525 599788 646660 720713 749735 808325 1029590 1071050 1441426 1499470 1616650 2059180 2142100 2573975 2882852 2998940 3191729 3233300 3603565 3748675 5147950 6383458 7207130 7497350 10295900 12766916 14414260 14994700 15958645 18017825 22342103 31917290 36035650 44684206 63834580 72071300 79793225 89368412 111710515 159586450 223421030 319172900 446842060 558552575 1117105150 2234210300