Search a number
-
+
2342222040 = 2335431992281
BaseRepresentation
bin1000101110011011…
…0111100011011000
320001020022012121110
42023212313203120
514244102101130
61024225540320
7112020362454
oct21346674330
96036265543
102342222040
11aa213a0a4
125544a46a0
132b4339202
141830dd664
15da961ab0
hex8b9b78d8

2342222040 has 128 divisors (see below), whose sum is σ = 7229376000. Its totient is φ = 606735360.

The previous prime is 2342221991. The next prime is 2342222059. The reversal of 2342222040 is 402222432.

It is a junction number, because it is equal to n+sod(n) for n = 2342221998 and 2342222016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025700 + ... + 1027980.

It is an arithmetic number, because the mean of its divisors is an integer number (56479500).

Almost surely, 22342222040 is an apocalyptic number.

2342222040 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 2342222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614688000).

2342222040 is an abundant number, since it is smaller than the sum of its proper divisors (4887153960).

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

2342222040 is a wasteful number, since it uses less digits than its factorization.

2342222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2342222040 is about 48396.5085517540. The cubic root of 2342222040 is about 1328.0344909874.

Adding to 2342222040 its reverse (402222432), we get a palindrome (2744444472).

The spelling of 2342222040 in words is "two billion, three hundred forty-two million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 199 215 258 344 398 430 516 597 645 796 860 995 1032 1194 1290 1592 1720 1990 2281 2388 2580 2985 3980 4562 4776 5160 5970 6843 7960 8557 9124 11405 11940 13686 17114 18248 22810 23880 25671 27372 34215 34228 42785 45620 51342 54744 68430 68456 85570 91240 98083 102684 128355 136860 171140 196166 205368 256710 273720 294249 342280 392332 453919 490415 513420 588498 784664 907838 980830 1026840 1176996 1361757 1471245 1815676 1961660 2269595 2353992 2723514 2942490 3631352 3923320 4539190 5447028 5884980 6808785 9078380 10894056 11769960 13617570 18156760 19518517 27235140 39037034 54470280 58555551 78074068 97592585 117111102 156148136 195185170 234222204 292777755 390370340 468444408 585555510 780740680 1171111020 2342222040