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2182138008 = 233679471433
BaseRepresentation
bin1000001000010000…
…1100100010011000
312122002002002121020
42002010030202120
513432111404013
61000310442440
7105034603251
oct20204144230
95562062536
102182138008
11a1a83a646
1250a963420
1328a11942b
14169b4bb28
15cb88e623
hex8210c898

2182138008 has 64 divisors (see below), whose sum is σ = 5546482560. Its totient is φ = 715266816.

The previous prime is 2182138001. The next prime is 2182138099. The reversal of 2182138008 is 8008312812.

It is a self number, because there is not a number n which added to its sum of digits gives 2182138008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182138001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522060 + ... + 1523492.

It is an arithmetic number, because the mean of its divisors is an integer number (86663790).

Almost surely, 22182138008 is an apocalyptic number.

It is an amenable number.

2182138008 is an abundant number, since it is smaller than the sum of its proper divisors (3364344552).

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

2182138008 is a wasteful number, since it uses less digits than its factorization.

2182138008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2182138008 is about 46713.3600589810. The cubic root of 2182138008 is about 1297.0620057793.

The spelling of 2182138008 in words is "two billion, one hundred eighty-two million, one hundred thirty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 947 1433 1608 1894 2841 2866 3788 4299 5682 5732 7576 8598 11364 11464 17196 22728 34392 63449 96011 126898 190347 192022 253796 288033 380694 384044 507592 576066 761388 768088 1152132 1357051 1522776 2304264 2714102 4071153 5428204 8142306 10856408 16284612 32569224 90922417 181844834 272767251 363689668 545534502 727379336 1091069004 2182138008