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2290196736 = 28329972
BaseRepresentation
bin1000100010000001…
…1010000100000000
312220121102001022100
42020200122010000
514142242243421
61015130510400
7110516231262
oct21040320400
95817361270
102290196736
11a75835783
1253ab95400
132a6621cc9
1417a239b32
15d60d6c26
hex8881a100

2290196736 has 81 divisors (see below), whose sum is σ = 6609831501. Its totient is φ = 762633216.

The previous prime is 2290196723. The next prime is 2290196761. The reversal of 2290196736 is 6376910922.

It is a happy number.

The square root of 2290196736 is 47856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1971360000 + 318836736 = 44400^2 + 17856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2290196691 and 2290196700.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2296590 + ... + 2297586.

Almost surely, 22290196736 is an apocalyptic number.

2290196736 is the 47856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290196736

2290196736 is an abundant number, since it is smaller than the sum of its proper divisors (4319634765).

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

2290196736 is an frugal number, since it uses more digits than its factorization.

2290196736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The cubic root of 2290196736 is about 1318.1280352237.

The spelling of 2290196736 in words is "two billion, two hundred ninety million, one hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 997 1152 1994 2304 2991 3988 5982 7976 8973 11964 15952 17946 23928 31904 35892 47856 63808 71784 95712 127616 143568 191424 255232 287136 382848 574272 765696 994009 1148544 1988018 2297088 2982027 3976036 5964054 7952072 8946081 11928108 15904144 17892162 23856216 31808288 35784324 47712432 63616576 71568648 95424864 127233152 143137296 190849728 254466304 286274592 381699456 572549184 763398912 1145098368 2290196736