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6220766880 = 253255381509
BaseRepresentation
bin1011100101100100…
…10101111010100000
3121001112110200220100
411302302111322200
5100220004020010
62505140342400
7310104434406
oct56262257240
917045420810
106220766880
112702508259
1212573a4a00
13781a44563
14430279476
152661e52c0
hex172c95ea0

6220766880 has 144 divisors (see below), whose sum is σ = 21629167560. Its totient is φ = 1627551744.

The previous prime is 6220766879. The next prime is 6220766897. The reversal of 6220766880 is 886670226.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6007490064 + 213276816 = 77508^2 + 14604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35566 + ... + 117074.

Almost surely, 26220766880 is an apocalyptic number.

6220766880 is a gapful number since it is divisible by the number (60) 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 6220766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814583780).

6220766880 is an abundant number, since it is smaller than the sum of its proper divisors (15408400680).

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

6220766880 is a wasteful number, since it uses less digits than its factorization.

6220766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81583 (or 81572 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6220766880 is about 78871.8383201507. The cubic root of 6220766880 is about 1839.1393738282.

The spelling of 6220766880 in words is "six billion, two hundred twenty million, seven hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 38160 76320 81509 163018 244527 326036 407545 489054 652072 733581 815090 978108 1222635 1304144 1467162 1630180 1956216 2445270 2608288 2934324 3260360 3667905 3912432 4319977 4890540 5868648 6520720 7335810 7824864 8639954 9781080 11737296 12959931 13041440 14671620 17279908 19562160 21599885 23474592 25919862 29343240 34559816 38879793 39124320 43199770 51839724 58686480 64799655 69119632 77759586 86399540 103679448 117372960 129599310 138239264 155519172 172799080 194398965 207358896 259198620 311038344 345598160 388797930 414717792 518397240 622076688 691196320 777595860 1036794480 1244153376 1555191720 2073588960 3110383440 6220766880