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2199996384 = 253173074391
BaseRepresentation
bin1000001100100001…
…0100011111100000
312200022200101200120
42003020110133200
514001144341014
61002145320240
7105342442425
oct20310243740
95608611616
102199996384
11a29927933
12514936080
13290a2cb11
1416c279d4c
15cd21aba9
hex832147e0

2199996384 has 96 divisors (see below), whose sum is σ = 6136010496. Its totient is φ = 687790080.

The previous prime is 2199996373. The next prime is 2199996397. The reversal of 2199996384 is 4836999912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21999963842 = 9679968179226150912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498829 + ... + 503219.

It is an arithmetic number, because the mean of its divisors is an integer number (63916776).

Almost surely, 22199996384 is an apocalyptic number.

2199996384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199996384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068005248).

2199996384 is an abundant number, since it is smaller than the sum of its proper divisors (3936014112).

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

2199996384 is a wasteful number, since it uses less digits than its factorization.

2199996384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4720 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 60.

The square root of 2199996384 is about 46904.1190515289. The cubic root of 2199996384 is about 1300.5907342845.

The spelling of 2199996384 in words is "two billion, one hundred ninety-nine million, nine hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 307 408 544 614 816 921 1228 1632 1842 2456 3684 4391 4912 5219 7368 8782 9824 10438 13173 14736 15657 17564 20876 26346 29472 31314 35128 41752 52692 62628 70256 74647 83504 105384 125256 140512 149294 167008 210768 223941 250512 298588 421536 447882 501024 597176 895764 1194352 1348037 1791528 2388704 2696074 3583056 4044111 5392148 7166112 8088222 10784296 16176444 21568592 22916629 32352888 43137184 45833258 64705776 68749887 91666516 129411552 137499774 183333032 274999548 366666064 549999096 733332128 1099998192 2199996384