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2233130100 = 2235267241461
BaseRepresentation
bin1000010100011010…
…1101110001110100
312202122000202121020
42011012231301310
514033140130400
61005331421140
7106224202245
oct20506556164
95678022536
102233130100
11a465a8773
12523a547b0
13297861276
14172822ccc
15d10b32a0
hex851adc74

2233130100 has 144 divisors (see below), whose sum is σ = 6599119296. Its totient is φ = 582912000.

The previous prime is 2233130089. The next prime is 2233130177. The reversal of 2233130100 is 10313322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2233130100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4843870 + ... + 4844330.

Almost surely, 22233130100 is an apocalyptic number.

2233130100 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 2233130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299559648).

2233130100 is an abundant number, since it is smaller than the sum of its proper divisors (4365989196).

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

2233130100 is a wasteful number, since it uses less digits than its factorization.

2233130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2233130100 is about 47256.0059674958. The cubic root of 2233130100 is about 1307.0875412876.

Adding to 2233130100 its reverse (10313322), we get a palindrome (2243443422).

The spelling of 2233130100 in words is "two billion, two hundred thirty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 241 268 300 335 402 461 482 670 723 804 922 964 1005 1205 1340 1383 1446 1675 1844 2010 2305 2410 2766 2892 3350 3615 4020 4610 4820 5025 5532 6025 6700 6915 7230 9220 10050 11525 12050 13830 14460 16147 18075 20100 23050 24100 27660 30887 32294 34575 36150 46100 48441 61774 64588 69150 72300 80735 92661 96882 111101 123548 138300 154435 161470 185322 193764 222202 242205 308870 322940 333303 370644 403675 444404 463305 484410 555505 617740 666606 772175 807350 926610 968820 1111010 1211025 1333212 1544350 1614700 1666515 1853220 2222020 2316525 2422050 2777525 3088700 3333030 4633050 4844100 5555050 6666060 7443767 8332575 9266100 11110100 14887534 16665150 22331301 29775068 33330300 37218835 44662602 74437670 89325204 111656505 148875340 186094175 223313010 372188350 446626020 558282525 744376700 1116565050 2233130100