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2212022112 = 25331223977
BaseRepresentation
bin1000001111011000…
…1100011101100000
312201011022100212220
42003312030131200
514012234201422
61003255151040
7105546610026
oct20366143540
95634270786
102212022112
11a356a0a53
12518975480
13293380731
1416daca716
15ce2e3e5c
hex83d8c760

2212022112 has 72 divisors (see below), whose sum is σ = 6000158808. Its totient is φ = 713525760.

The previous prime is 2212022101. The next prime is 2212022179. The reversal of 2212022112 is 2112202122.

It is a junction number, because it is equal to n+sod(n) for n = 2212022091 and 2212022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80268 + ... + 104244.

It is an arithmetic number, because the mean of its divisors is an integer number (83335539).

Almost surely, 22212022112 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 2212022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000079404).

2212022112 is an abundant number, since it is smaller than the sum of its proper divisors (3788136696).

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

2212022112 is a wasteful number, since it uses less digits than its factorization.

2212022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24052 (or 24013 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2212022112 is about 47032.1391391036. The cubic root of 2212022112 is about 1302.9562136663.

Adding to 2212022112 its reverse (2112202122), we get a palindrome (4324224234).

The spelling of 2212022112 in words is "two billion, two hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1922 2883 2976 3844 5766 7688 11532 15376 23064 23977 30752 46128 47954 71931 92256 95908 143862 191816 287724 383632 575448 743287 767264 1150896 1486574 2229861 2301792 2973148 4459722 5946296 8919444 11892592 17838888 23041897 23785184 35677776 46083794 69125691 71355552 92167588 138251382 184335176 276502764 368670352 553005528 737340704 1106011056 2212022112