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2235605106 = 2372231791847
BaseRepresentation
bin1000010101000000…
…1010000001110010
312202210200111200010
42011100022001302
514034303330411
61005500435350
7106254221100
oct20520120162
95683614603
102235605106
11a47a39229
12524848b56
13298219977
14172ca8c70
15d14017a6
hex8540a072

2235605106 has 96 divisors (see below), whose sum is σ = 5460618240. Its totient is φ = 607230624.

The previous prime is 2235605101. The next prime is 2235605107. The reversal of 2235605106 is 6015065322.

It is not an unprimeable number, because it can be changed into a prime (2235605101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209475 + ... + 1211321.

It is an arithmetic number, because the mean of its divisors is an integer number (56881440).

Almost surely, 22235605106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235605106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730309120).

2235605106 is an abundant number, since it is smaller than the sum of its proper divisors (3225013134).

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

2235605106 is a wasteful number, since it uses less digits than its factorization.

2235605106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2235605106 is about 47282.1859266257. The cubic root of 2235605106 is about 1307.5702501535.

The spelling of 2235605106 in words is "two billion, two hundred thirty-five million, six hundred five thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 179 294 322 358 483 537 966 1074 1127 1253 1847 2254 2506 3381 3694 3759 4117 5541 6762 7518 8234 8771 11082 12351 12929 17542 24702 25858 26313 28819 38787 42481 52626 57638 77574 84962 86457 90503 127443 172914 181006 201733 254886 271509 297367 330613 403466 543018 594734 605199 661226 892101 991839 1210398 1784202 1983678 2081569 2314291 4163138 4628582 6244707 6942873 7604099 12489414 13885746 15208198 16200037 22812297 32400074 45624594 48600111 53228693 97200222 106457386 159686079 319372158 372600851 745201702 1117802553 2235605106