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245522311100 = 2252111916137283
BaseRepresentation
bin1110010010101001000…
…1010010011110111100
3212110201212112200200122
43210222101102132330
513010312202423400
6304442535114112
723511162132113
oct3445221223674
9773655480618
10245522311100
1195141a42310
123b700b12938
131a1ca4c7731
14bc51c72c7a
1565beb86685
hex392a4527bc

245522311100 has 144 divisors (see below), whose sum is σ = 612272062080. Its totient is φ = 84517804800.

The previous prime is 245522311087. The next prime is 245522311171. The reversal of 245522311100 is 1113225542.

245522311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 245522311100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33708059 + ... + 33715341.

It is an arithmetic number, because the mean of its divisors is an integer number (4251889320).

Almost surely, 2245522311100 is an apocalyptic number.

245522311100 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 245522311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306136031040).

245522311100 is an abundant number, since it is smaller than the sum of its proper divisors (366749750980).

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

245522311100 is a wasteful number, since it uses less digits than its factorization.

245522311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 245522311100 its reverse (1113225542), we get a palindrome (246635536642).

The spelling of 245522311100 in words is "two hundred forty-five billion, five hundred twenty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1613 1900 2090 3226 4180 5225 6452 7283 8065 10450 14566 16130 17743 20900 29132 30647 32260 35486 36415 40325 61294 70972 72830 80113 80650 88715 122588 138377 145660 153235 160226 161300 177430 182075 276754 306470 320452 337117 354860 364150 400565 443575 553508 612940 674234 691885 728300 766175 801130 887150 1348468 1383770 1522147 1532350 1602260 1685585 1774300 2002825 2767540 3044294 3064700 3371170 3459425 4005650 6088588 6742340 6918850 7610735 8011300 8427925 11747479 13837700 15221470 16855850 23494958 30442940 33711700 38053675 46989916 58737395 76107350 117474790 129222269 152214700 223202101 234949580 258444538 293686975 446404202 516889076 587373950 646111345 892808404 1116010505 1174747900 1292222690 2232021010 2455223111 2584445380 3230556725 4464042020 4910446222 5580052525 6461113450 9820892444 11160105050 12276115555 12922226900 22320210100 24552231110 49104462220 61380577775 122761155550 245522311100