Search a number
-
+
2122310340 = 2232529340241
BaseRepresentation
bin111111001111111…
…1110001011000100
312110220111112110200
41332133332023010
513321302412330
6550332250500
7103410224463
oct17637761304
95426445420
102122310340
11999a97197
124b2910a30
1327a8cca47
14161c169da
15c64c2a60
hex7e7fe2c4

2122310340 has 72 divisors (see below), whose sum is σ = 6459806808. Its totient is φ = 564003840.

The previous prime is 2122310329. The next prime is 2122310371. The reversal of 2122310340 is 430132212.

2122310340 is a `hidden beast` number, since 2 + 12 + 2 + 310 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239444676 + 1882865664 = 15474^2 + 43392^2 .

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

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, 32620 + ... + 72860.

It is an arithmetic number, because the mean of its divisors is an integer number (89719539).

Almost surely, 22122310340 is an apocalyptic number.

2122310340 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 2122310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229903404).

2122310340 is an abundant number, since it is smaller than the sum of its proper divisors (4337496468).

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

2122310340 is a wasteful number, since it uses less digits than its factorization.

2122310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40549 (or 40544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2122310340 is about 46068.5395904841. The cubic root of 2122310340 is about 1285.0981448856.

Adding to 2122310340 its reverse (430132212), we get a palindrome (2552442552).

The spelling of 2122310340 in words is "two billion, one hundred twenty-two million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 8790 10548 13185 17580 26370 40241 52740 80482 120723 160964 201205 241446 362169 402410 482892 603615 724338 804820 1207230 1448676 1810845 2414460 3621690 7243380 11790613 23581226 35371839 47162452 58953065 70743678 106115517 117906130 141487356 176859195 212231034 235812260 353718390 424462068 530577585 707436780 1061155170 2122310340