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2245256046 = 2321131336229
BaseRepresentation
bin1000010111010011…
…1110001101101110
312210110211211021100
42011310332031232
514044241143141
61010443343530
7106432234665
oct20564761556
95713754240
102245256046
11a52430110
12527b21ba6
1329a218697
1417429bddc
15d21ab0b6
hex85d3e36e

2245256046 has 48 divisors (see below), whose sum is σ = 5324070960. Its totient is φ = 678188160.

The previous prime is 2245256023. The next prime is 2245256047. The reversal of 2245256046 is 6406525422.

2245256046 is a `hidden beast` number, since 2 + 2 + 4 + 52 + 560 + 46 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2245256046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245256047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43860 + ... + 80088.

It is an arithmetic number, because the mean of its divisors is an integer number (110918145).

Almost surely, 22245256046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245256046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662035480).

2245256046 is an abundant number, since it is smaller than the sum of its proper divisors (3078814914).

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

2245256046 is a wasteful number, since it uses less digits than its factorization.

2245256046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36561 (or 36558 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2245256046 is about 47384.1328505651. The cubic root of 2245256046 is about 1309.4491100930.

The spelling of 2245256046 in words is "two billion, two hundred forty-five million, two hundred fifty-six thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 313 626 939 1878 2817 3443 5634 6886 10329 20658 30987 36229 61974 72458 108687 217374 326061 398519 652122 797038 1195557 2391114 3586671 7173342 11339677 22679354 34019031 68038062 102057093 124736447 204114186 249472894 374209341 748418682 1122628023 2245256046