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2214653984 = 251910313533
BaseRepresentation
bin1000010000000000…
…1111000000100000
312201100021002010122
42010000033000200
514013422411414
61003431415412
7105611151104
oct20400170040
95640232118
102214653984
11a37129354
12519824568
13293a9265a
141701b3904
15ce663b8e
hex8400f020

2214653984 has 48 divisors (see below), whose sum is σ = 4595330880. Its totient is φ = 1047732480.

The previous prime is 2214653957. The next prime is 2214653989. The reversal of 2214653984 is 4893564122.

It is not an unprimeable number, because it can be changed into a prime (2214653989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625082 + ... + 628614.

It is an arithmetic number, because the mean of its divisors is an integer number (95736060).

Almost surely, 22214653984 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 2214653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297665440).

2214653984 is an abundant number, since it is smaller than the sum of its proper divisors (2380676896).

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

2214653984 is a wasteful number, since it uses less digits than its factorization.

2214653984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4585 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 2214653984 is about 47060.1103271125. The cubic root of 2214653984 is about 1303.4727628794.

The spelling of 2214653984 in words is "two billion, two hundred fourteen million, six hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1031 2062 3533 4124 7066 8248 14132 16496 19589 28264 32992 39178 56528 67127 78356 113056 134254 156712 268508 313424 537016 626848 1074032 2148064 3642523 7285046 14570092 29140184 58280368 69207937 116560736 138415874 276831748 553663496 1107326992 2214653984