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2246265054 = 2331122314947
BaseRepresentation
bin1000010111100011…
…0100100011011110
312210112202002101000
42011320310203132
514100020440204
61010521131130
7106443636465
oct20570644336
95715662330
102246265054
11a52a5a200
12528329aa6
1329a4aca27
141744819dc
15d230a039
hex85e348de

2246265054 has 96 divisors (see below), whose sum is σ = 5725681920. Its totient is φ = 651047760.

The previous prime is 2246265041. The next prime is 2246265059. The reversal of 2246265054 is 4505626422.

2246265054 is a `hidden beast` number, since 2 + 24 + 626 + 5 + 0 + 5 + 4 = 666.

2246265054 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246265059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142809 + ... + 157755.

It is an arithmetic number, because the mean of its divisors is an integer number (59642520).

Almost surely, 22246265054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246265054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862840960).

2246265054 is an abundant number, since it is smaller than the sum of its proper divisors (3479416866).

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

2246265054 is a wasteful number, since it uses less digits than its factorization.

2246265054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15003 (or 14986 counting only the distinct ones).

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

The square root of 2246265054 is about 47394.7787630663. The cubic root of 2246265054 is about 1309.6452342365.

The spelling of 2246265054 in words is "two billion, two hundred forty-six million, two hundred sixty-five thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 121 138 198 207 242 253 297 363 414 506 594 621 726 759 1089 1242 1518 2178 2277 2783 3267 4554 5566 6534 6831 8349 13662 14947 16698 25047 29894 44841 50094 75141 89682 134523 150282 164417 269046 328834 343781 403569 493251 687562 807138 986502 1031343 1479753 1808587 2062686 2959506 3094029 3617174 3781591 4439259 5425761 6188058 7563182 8878518 9282087 10851522 11344773 16277283 18564174 22689546 32554566 34034319 41597501 48831849 68068638 83195002 97663698 102102957 124792503 204205914 249585006 374377509 748755018 1123132527 2246265054