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2002223648 = 25193798689
BaseRepresentation
bin111011101010111…
…1000001000100000
312011112112111111102
41313111320020200
513100032124043
6530402333532
7100421422505
oct16725701040
95145474442
102002223648
11938226297
1247a65a2a8
1325ba75529
1414dcb74ac
15baba16b8
hex77578220

2002223648 has 48 divisors (see below), whose sum is σ = 4160772000. Its totient is φ = 945810432.

The previous prime is 2002223611. The next prime is 2002223689. The reversal of 2002223648 is 8463222002.

It is a super-2 number, since 2×20022236482 = 8017799073220855808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002223648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226088 + ... + 234776.

It is an arithmetic number, because the mean of its divisors is an integer number (86682750).

Almost surely, 22002223648 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 2002223648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080386000).

2002223648 is an abundant number, since it is smaller than the sum of its proper divisors (2158548352).

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

2002223648 is a wasteful number, since it uses less digits than its factorization.

2002223648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9097 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2002223648 is about 44746.2137839617. The cubic root of 2002223648 is about 1260.3878137716.

The spelling of 2002223648 in words is "two billion, two million, two hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 379 608 758 1516 3032 6064 7201 8689 12128 14402 17378 28804 34756 57608 69512 115216 139024 165091 230432 278048 330182 660364 1320728 2641456 3293131 5282912 6586262 13172524 26345048 52690096 62569489 105380192 125138978 250277956 500555912 1001111824 2002223648