Search a number
-
+
2330021300 = 22521973107157
BaseRepresentation
bin1000101011100001…
…0100110110110100
320000101100100100012
42022320110312310
514232441140200
61023112235352
7111511566005
oct21270246664
96011310305
102330021300
11a96266542
1255039bb58
132b1956a39
141816451ac
15d9851a35
hex8ae14db4

2330021300 has 144 divisors (see below), whose sum is σ = 5480274240. Its totient is φ = 857226240.

The previous prime is 2330021273. The next prime is 2330021303. The reversal of 2330021300 is 31200332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330021303) 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, 14840822 + ... + 14840978.

It is an arithmetic number, because the mean of its divisors is an integer number (38057460).

Almost surely, 22330021300 is an apocalyptic number.

2330021300 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 2330021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740137120).

2330021300 is an abundant number, since it is smaller than the sum of its proper divisors (3150252940).

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

2330021300 is a wasteful number, since it uses less digits than its factorization.

2330021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2330021300 is about 48270.2941776824. The cubic root of 2330021300 is about 1325.7245449877.

Adding to 2330021300 its reverse (31200332), we get a palindrome (2361221632).

The spelling of 2330021300 in words is "two billion, three hundred thirty million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 73 76 95 100 107 146 157 190 214 292 314 365 380 428 475 535 628 730 785 950 1070 1387 1460 1570 1825 1900 2033 2140 2675 2774 2983 3140 3650 3925 4066 5350 5548 5966 6935 7300 7811 7850 8132 10165 10700 11461 11932 13870 14915 15622 15700 16799 20330 22922 27740 29830 31244 33598 34675 39055 40660 45844 50825 57305 59660 67196 69350 74575 78110 83995 101650 114610 138700 148409 149150 156220 167990 195275 203300 217759 229220 286525 296818 298300 319181 335980 390550 419975 435518 573050 593636 638362 742045 781100 839950 871036 1088795 1146100 1226327 1276724 1484090 1595905 1679900 2177590 2452654 2968180 3191810 3710225 4355180 4905308 5443975 6131635 6383620 7420450 7979525 10887950 12263270 14840900 15959050 21775900 23300213 24526540 30658175 31918100 46600426 61316350 93200852 116501065 122632700 233002130 466004260 582505325 1165010650 2330021300