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2122441040 = 2453147131139
BaseRepresentation
bin111111010000001…
…1110000101010000
312110220202011202102
41332200132011100
513321321103130
6550335135532
7103411310516
oct17640360520
95426664672
102122441040
1199a076405
124b29745a8
1327a947395
14161c4c4b6
15c64eb645
hex7e81e150

2122441040 has 160 divisors (see below), whose sum is σ = 5279662080. Its totient is φ = 792230400.

The previous prime is 2122441039. The next prime is 2122441099. The reversal of 2122441040 is 401442212.

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, 15269291 + ... + 15269429.

It is an arithmetic number, because the mean of its divisors is an integer number (32997888).

Almost surely, 22122441040 is an apocalyptic number.

2122441040 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 2122441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639831040).

2122441040 is an abundant number, since it is smaller than the sum of its proper divisors (3157221040).

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

2122441040 is a wasteful number, since it uses less digits than its factorization.

2122441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2122441040 is about 46069.9581072091. The cubic root of 2122441040 is about 1285.1245247661.

Adding to 2122441040 its reverse (401442212), we get a palindrome (2523883252).

The spelling of 2122441040 in words is "two billion, one hundred twenty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 47 62 80 94 124 131 139 155 188 235 248 262 278 310 376 470 496 524 556 620 655 695 752 940 1048 1112 1240 1310 1390 1457 1880 2096 2224 2480 2620 2780 2914 3760 4061 4309 5240 5560 5828 6157 6533 7285 8122 8618 10480 11120 11656 12314 13066 14570 16244 17236 18209 20305 21545 23312 24628 26132 29140 30785 32488 32665 34472 36418 40610 43090 49256 52264 58280 61570 64976 65330 68944 72836 81220 86180 91045 98512 104528 116560 123140 130660 145672 162440 172360 182090 190867 202523 246280 261320 291344 324880 344720 364180 381734 405046 492560 522640 564479 728360 763468 810092 855823 954335 1012615 1128958 1456720 1526936 1620184 1711646 1908670 2025230 2257916 2822395 3053872 3240368 3423292 3817340 4050460 4279115 4515832 5644790 6846584 7634680 8100920 8558230 9031664 11289580 13693168 15269360 16201840 17116460 22579160 26530513 34232920 45158320 53061026 68465840 106122052 132652565 212244104 265305130 424488208 530610260 1061220520 2122441040