Search a number
-
+
2290465472 = 26296611867
BaseRepresentation
bin1000100010000101…
…1011101011000000
312220121220200221112
42020201123223000
514142324343342
61015140342452
7110521430621
oct21041335300
95817820845
102290465472
11a759a9679
1253b0a4a28
132a66b7419
1417a2a9a48
15d613b682
hex8885bac0

2290465472 has 56 divisors (see below), whose sum is σ = 4711506960. Its totient is φ = 1103477760.

The previous prime is 2290465459. The next prime is 2290465481. The reversal of 2290465472 is 2745640922.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225883 + ... + 1227749.

Almost surely, 22290465472 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 2290465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355753480).

2290465472 is an abundant number, since it is smaller than the sum of its proper divisors (2421041488).

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

2290465472 is a wasteful number, since it uses less digits than its factorization.

2290465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 2290465472 is about 47858.8076742411. The cubic root of 2290465472 is about 1318.1795904163.

The spelling of 2290465472 in words is "two billion, two hundred ninety million, four hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 661 928 1322 1856 1867 2644 3734 5288 7468 10576 14936 19169 21152 29872 38338 42304 54143 59744 76676 108286 119488 153352 216572 306704 433144 613408 866288 1226816 1234087 1732576 2468174 3465152 4936348 9872696 19745392 35788523 39490784 71577046 78981568 143154092 286308184 572616368 1145232736 2290465472