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10455420228 = 22311296414261
BaseRepresentation
bin10011011110011000…
…10000110101000100
3222222122201101020020
421233030100311010
5132403041421403
64445251535140
7520044414501
oct115714206504
928878641206
1010455420228
1144858a2a70
1220395ba4b0
13ca81642b6
147128324a8
15412d6c453
hex26f310d44

10455420228 has 96 divisors (see below), whose sum is σ = 27580936320. Its totient is φ = 3053568000.

The previous prime is 10455420221. The next prime is 10455420229. The reversal of 10455420228 is 82202455401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10455420221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2451618 + ... + 2455878.

It is an arithmetic number, because the mean of its divisors is an integer number (287301420).

Almost surely, 210455420228 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 10455420228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790468160).

10455420228 is an abundant number, since it is smaller than the sum of its proper divisors (17125516092).

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

10455420228 is a wasteful number, since it uses less digits than its factorization.

10455420228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 10455420228 its reverse (82202455401), we get a palindrome (92657875629).

The spelling of 10455420228 in words is "ten billion, four hundred fifty-five million, four hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 641 957 1276 1282 1914 1923 2564 3828 3846 4261 7051 7692 8522 12783 14102 17044 18589 21153 25566 28204 37178 42306 46871 51132 55767 74356 84612 93742 111534 123569 140613 187484 204479 223068 247138 281226 370707 408958 494276 562452 613437 741414 817916 1226874 1359259 1482828 2453748 2718518 2731301 4077777 5437036 5462602 8155554 8193903 10925204 16311108 16387806 30044311 32775612 60088622 79207729 90132933 120177244 158415458 180265866 237623187 316830916 360531732 475246374 871285019 950492748 1742570038 2613855057 3485140076 5227710114 10455420228