Search a number
-
+
2122342040 = 2357134114221
BaseRepresentation
bin111111010000000…
…0101111010011000
312110220120010221202
41332200011322120
513321304421130
6550333053332
7103410416060
oct17640057230
95426503852
102122342040
1199a008a95
124b2927248
1327a9112c0
14161c243a0
15c64cc145
hex7e805e98

2122342040 has 128 divisors (see below), whose sum is σ = 6021025920. Its totient is φ = 655257600.

The previous prime is 2122342037. The next prime is 2122342051. The reversal of 2122342040 is 402432212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142130 + ... + 156350.

It is an arithmetic number, because the mean of its divisors is an integer number (47039265).

Almost surely, 22122342040 is an apocalyptic number.

2122342040 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 2122342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010512960).

2122342040 is an abundant number, since it is smaller than the sum of its proper divisors (3898683880).

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

2122342040 is a wasteful number, since it uses less digits than its factorization.

2122342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14293 (or 14289 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2122342040 is about 46068.8836417815. The cubic root of 2122342040 is about 1285.1045431657.

Adding to 2122342040 its reverse (402432212), we get a palindrome (2524774252).

The spelling of 2122342040 in words is "two billion, one hundred twenty-two million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 280 287 328 364 410 455 520 533 574 728 820 910 1066 1148 1435 1640 1820 2132 2296 2665 2870 3640 3731 4264 5330 5740 7462 10660 11480 14221 14924 18655 21320 28442 29848 37310 56884 71105 74620 99547 113768 142210 149240 184873 199094 284420 369746 398188 497735 568840 583061 739492 796376 924365 995470 1166122 1294111 1478984 1848730 1990940 2332244 2588222 2915305 3697460 3981880 4081427 4664488 5176444 5830610 6470555 7394920 7579793 8162854 10352888 11661220 12941110 15159586 16325708 20407135 23322440 25882220 30319172 32651416 37898965 40814270 51764440 53058551 60638344 75797930 81628540 106117102 151595860 163257080 212234204 265292755 303191720 424468408 530585510 1061171020 2122342040