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2310114420 = 22325311014099
BaseRepresentation
bin1000100110110001…
…1000110001110100
312221222212222020100
42021230120301310
514212342130140
61021121434100
7111150435315
oct21154306164
95858788210
102310114420
11a85aaa179
1254579b930
132aa7a6b13
1417cb4260c
15d7c1d530
hex89b18c74

2310114420 has 144 divisors (see below), whose sum is σ = 7306790400. Its totient is φ = 590112000.

The previous prime is 2310114409. The next prime is 2310114427. The reversal of 2310114420 is 244110132.

2310114420 is a `hidden beast` number, since 231 + 0 + 1 + 14 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2310114393 and 2310114402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310114427) 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, 561531 + ... + 565629.

It is an arithmetic number, because the mean of its divisors is an integer number (50741600).

Almost surely, 22310114420 is an apocalyptic number.

2310114420 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 2310114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653395200).

2310114420 is an abundant number, since it is smaller than the sum of its proper divisors (4996675980).

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

2310114420 is a wasteful number, since it uses less digits than its factorization.

2310114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2310114420 is about 48063.6496741560. The cubic root of 2310114420 is about 1321.9382338511.

Adding to 2310114420 its reverse (244110132), we get a palindrome (2554224552).

The spelling of 2310114420 in words is "two billion, three hundred ten million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 101 124 155 180 186 202 279 303 310 372 404 465 505 558 606 620 909 930 1010 1116 1212 1395 1515 1818 1860 2020 2790 3030 3131 3636 4099 4545 5580 6060 6262 8198 9090 9393 12297 12524 15655 16396 18180 18786 20495 24594 28179 31310 36891 37572 40990 46965 49188 56358 61485 62620 73782 81980 93930 112716 122970 127069 140895 147564 184455 187860 245940 254138 281790 368910 381207 413999 508276 563580 635345 737820 762414 827998 1143621 1241997 1270690 1524828 1655996 1906035 2069995 2287242 2483994 2541380 3725991 3812070 4139990 4574484 4967988 5718105 6209985 7451982 7624140 8279980 11436210 12419970 12833969 14903964 18629955 22872420 24839940 25667938 37259910 38501907 51335876 64169845 74519820 77003814 115505721 128339690 154007628 192509535 231011442 256679380 385019070 462022884 577528605 770038140 1155057210 2310114420