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6220400060 = 22572107137433
BaseRepresentation
bin1011100101100001…
…11100010110111100
3121001111210001201102
411302300330112330
5100214410300220
62505124432232
7310101346100
oct56260742674
917044701642
106220400060
1127022876a6
121257248678
137819465c4
144301c1900
15266171775
hex172c3c5bc

6220400060 has 144 divisors (see below), whose sum is σ = 15485196384. Its totient is φ = 2092511232.

The previous prime is 6220400047. The next prime is 6220400093. The reversal of 6220400060 is 600040226.

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 47 ways as a sum of consecutive naturals, for example, 14365604 + ... + 14366036.

It is an arithmetic number, because the mean of its divisors is an integer number (107536086).

Almost surely, 26220400060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6220400060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742598192).

6220400060 is an abundant number, since it is smaller than the sum of its proper divisors (9264796324).

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

6220400060 is a wasteful number, since it uses less digits than its factorization.

6220400060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6220400060 is about 78869.5128677742. The cubic root of 6220400060 is about 1839.1032236033.

Adding to 6220400060 its reverse (600040226), we get a palindrome (6820440286).

The spelling of 6220400060 in words is "six billion, two hundred twenty million, four hundred thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 137 140 196 214 245 274 428 433 490 535 548 685 749 866 959 980 1070 1370 1498 1732 1918 2140 2165 2740 2996 3031 3745 3836 4330 4795 5243 6062 6713 7490 8660 9590 10486 12124 13426 14659 14980 15155 19180 20972 21217 26215 26852 29318 30310 33565 42434 46331 52430 58636 59321 60620 67130 73295 84868 92662 102613 104860 106085 118642 134260 146590 185324 205226 212170 231655 237284 293180 296605 324317 410452 415247 424340 463310 513065 593210 648634 718291 830494 926620 1026130 1186420 1297268 1436582 1621585 1660988 2052260 2076235 2270219 2873164 2906729 3243170 3591455 4152470 4540438 5813458 6347347 6486340 7182910 8304940 9080876 11351095 11626916 12694694 14365820 14533645 22702190 25389388 29067290 31736735 44431429 45404380 58134580 63473470 88862858 126946940 177725716 222157145 311020003 444314290 622040006 888628580 1244080012 1555100015 3110200030 6220400060