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2229362768 = 242331732677
BaseRepresentation
bin1000010011100001…
…0110000001010000
312202100221100210102
42010320112001100
514031204102033
61005114551532
7106150161623
oct20470260120
95670840712
102229362768
11a44465276
125227385a8
13296b42589
14172121dba
15d0abbde8
hex84e16050

2229362768 has 80 divisors (see below), whose sum is σ = 4718078976. Its totient is φ = 1017308160.

The previous prime is 2229362767. The next prime is 2229362771. The reversal of 2229362768 is 8672639222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229362767) 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, 831446 + ... + 834122.

Almost surely, 22229362768 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 2229362768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359039488).

2229362768 is an abundant number, since it is smaller than the sum of its proper divisors (2488716208).

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

2229362768 is a wasteful number, since it uses less digits than its factorization.

2229362768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2806 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 2229362768 is about 47216.1282614320. The cubic root of 2229362768 is about 1306.3521005699.

The spelling of 2229362768 in words is "two billion, two hundred twenty-nine million, three hundred sixty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 31 46 62 73 92 124 146 184 248 292 368 496 584 713 1168 1426 1679 2263 2677 2852 3358 4526 5354 5704 6716 9052 10708 11408 13432 18104 21416 26864 36208 42832 52049 61571 82987 104098 123142 165974 195421 208196 246284 331948 390842 416392 492568 663896 781684 832784 985136 1327792 1563368 1908701 3126736 3817402 4494683 6058051 7634804 8989366 12116102 15269608 17978732 24232204 30539216 35957464 48464408 71914928 96928816 139335173 278670346 557340692 1114681384 2229362768