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10022204616 = 23317151162677
BaseRepresentation
bin10010101010101111…
…01011010011001000
3221212110112202010120
421111113223103020
5131011141021431
64334254343240
7503234222304
oct112527532310
927773482116
1010022204616
114283300736
121b384bab20
13c394931b8
146b10a2d04
153d9ce7196
hex2555eb4c8

10022204616 has 64 divisors (see below), whose sum is σ = 26705220480. Its totient is φ = 3123379200.

The previous prime is 10022204597. The next prime is 10022204617. The reversal of 10022204616 is 61640222001.

10022204616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10022204617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19731 + ... + 142946.

It is an arithmetic number, because the mean of its divisors is an integer number (417269070).

Almost surely, 210022204616 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 10022204616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352610240).

10022204616 is an abundant number, since it is smaller than the sum of its proper divisors (16683015864).

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

10022204616 is a wasteful number, since it uses less digits than its factorization.

10022204616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162854 (or 162850 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10022204616 its reverse (61640222001), we get a palindrome (71662426617).

The spelling of 10022204616 in words is "ten billion, twenty-two million, two hundred four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 302 408 453 604 906 1208 1812 2567 3624 5134 7701 10268 15402 20536 30804 61608 162677 325354 488031 650708 976062 1301416 1952124 2765509 3904248 5531018 8296527 11062036 16593054 22124072 24564227 33186108 49128454 66372216 73692681 98256908 147385362 196513816 294770724 417591859 589541448 835183718 1252775577 1670367436 2505551154 3340734872 5011102308 10022204616