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10022252205 = 357223428027
BaseRepresentation
bin10010101010101111…
…10110111010101101
3221212110122011102010
421111113312322231
5131011144032310
64334255351433
7503234511120
oct112527667255
927773564363
1010022252205
114283333469
121b38522579
13c394aba64
146b10b63b7
153d9d06320
hex2555f6ead

10022252205 has 32 divisors (see below), whose sum is σ = 18408628224. Its totient is φ = 4561045056.

The previous prime is 10022252203. The next prime is 10022252239. The reversal of 10022252205 is 50225222001.

It is not a de Polignac number, because 10022252205 - 21 = 10022252203 is a prime.

It is a super-4 number, since 4×100222522054 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022252203) 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, 190599 + ... + 237428.

It is an arithmetic number, because the mean of its divisors is an integer number (575269632).

Almost surely, 210022252205 is an apocalyptic number.

10022252205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10022252205 is a deficient number, since it is larger than the sum of its proper divisors (8386376019).

10022252205 is a wasteful number, since it uses less digits than its factorization.

10022252205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428265.

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 10022252205 its reverse (50225222001), we get a palindrome (60247474206).

The spelling of 10022252205 in words is "ten billion, twenty-two million, two hundred fifty-two thousand, two hundred five".

Divisors: 1 3 5 7 15 21 35 105 223 669 1115 1561 3345 4683 7805 23415 428027 1284081 2140135 2996189 6420405 8988567 14980945 44942835 95450021 286350063 477250105 668150147 1431750315 2004450441 3340750735 10022252205