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2222101992 = 2331142119993
BaseRepresentation
bin1000010001110010…
…1001010111101000
312201212021110212210
42010130221113220
514022324230432
61004255205120
7106031361315
oct20434512750
95655243783
102222101992
11a40356130
125202167a0
1329549c766
14171191d0c
15d01358cc
hex847295e8

2222101992 has 64 divisors (see below), whose sum is σ = 6074976960. Its totient is φ = 671731200.

The previous prime is 2222101951. The next prime is 2222101993. The reversal of 2222101992 is 2991012222.

It is not an unprimeable number, because it can be changed into a prime (2222101993) 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, 101148 + ... + 121140.

It is an arithmetic number, because the mean of its divisors is an integer number (94921515).

Almost surely, 22222101992 is an apocalyptic number.

2222101992 is a gapful number since it is divisible by the number (22) 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 2222101992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037488480).

2222101992 is an abundant number, since it is smaller than the sum of its proper divisors (3852874968).

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

2222101992 is a wasteful number, since it uses less digits than its factorization.

2222101992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20434 (or 20430 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2222101992 is about 47139.1768277725. The cubic root of 2222101992 is about 1304.9323456949.

It can be divided in two parts, 22221019 and 92, that added together give a triangular number (22221111 = T6666).

The spelling of 2222101992 in words is "two billion, two hundred twenty-two million, one hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 421 842 1263 1684 2526 3368 4631 5052 9262 10104 13893 18524 19993 27786 37048 39986 55572 59979 79972 111144 119958 159944 219923 239916 439846 479832 659769 879692 1319538 1759384 2639076 5278152 8417053 16834106 25251159 33668212 50502318 67336424 92587583 101004636 185175166 202009272 277762749 370350332 555525498 740700664 1111050996 2222101992