Search a number
-
+
230344342022100 = 223521559492504473
BaseRepresentation
bin110100010111111100111000…
…101011101010011111010100
31010012120201000020120221212110
4310113330320223222133110
5220142430203024201400
62133522421353151020
766342554345632635
oct6427747053523724
91105521006527773
10230344342022100
116743853a009159
1221a0233a0bb470
139b6b4bc022817
1440c4a2322588c
151b96bb92e3e50
hexd17f38aea7d4

230344342022100 has 72 divisors (see below), whose sum is σ = 666890458153920. Its totient is φ = 61385757390080.

The previous prime is 230344342022089. The next prime is 230344342022111. The reversal of 230344342022100 is 1220243443032.

It is an interprime number because it is at equal distance from previous prime (230344342022089) and next prime (230344342022111).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245784537 + ... + 246719936.

It is an arithmetic number, because the mean of its divisors is an integer number (9262367474360).

Almost surely, 2230344342022100 is an apocalyptic number.

230344342022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230344342022100 is an abundant number, since it is smaller than the sum of its proper divisors (436546116131820).

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

230344342022100 is a wasteful number, since it uses less digits than its factorization.

230344342022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492506049 (or 492506042 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 230344342022100 its reverse (1220243443032), we get a palindrome (231564585465132).

The spelling of 230344342022100 in words is "two hundred thirty trillion, three hundred forty-four billion, three hundred forty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1559 3118 4677 6236 7795 9354 15590 18708 23385 31180 38975 46770 77950 93540 116925 155900 233850 467700 492504473 985008946 1477513419 1970017892 2462522365 2955026838 4925044730 5910053676 7387567095 9850089460 12312611825 14775134190 24625223650 29550268380 36937835475 49250447300 73875670950 147751341900 767814473407 1535628946814 2303443420221 3071257893628 3839072367035 4606886840442 7678144734070 9213773680884 11517217101105 15356289468140 19195361835175 23034434202210 38390723670350 46068868404420 57586085505525 76781447340700 115172171011050 230344342022100