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2245041522 = 23617531709
BaseRepresentation
bin1000010111010000…
…1001110101110010
312210110102221000000
42011310021311302
514044212312042
61010435010430
7106430352363
oct20564116562
95713387000
102245041522
11a522a3a19
12527a39a16
1329a171b49
14174243b6a
15d216774c
hex85d09d72

2245041522 has 112 divisors (see below), whose sum is σ = 5450091480. Its totient is φ = 690633216.

The previous prime is 2245041521. The next prime is 2245041529. The reversal of 2245041522 is 2251405422.

2245041522 is a `hidden beast` number, since 2 + 2 + 4 + 504 + 152 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2050187841 + 194853681 = 45279^2 + 13959^2 .

It is a super-2 number, since 2×22450415222 = 10080422871008152968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245041521) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1312804 + ... + 1314512.

Almost surely, 22245041522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245041522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725045740).

2245041522 is an abundant number, since it is smaller than the sum of its proper divisors (3205049958).

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

2245041522 is a wasteful number, since it uses less digits than its factorization.

2245041522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2245041522 is about 47381.8691273360. The cubic root of 2245041522 is about 1309.4074047965.

Adding to 2245041522 its reverse (2251405422), we get a palindrome (4496446944).

The spelling of 2245041522 in words is "two billion, two hundred forty-five million, forty-one thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 153 159 162 243 306 318 459 477 486 729 901 918 954 1377 1431 1458 1709 1802 2703 2754 2862 3418 4131 4293 5127 5406 8109 8262 8586 10254 12393 12879 15381 16218 24327 24786 25758 29053 30762 38637 46143 48654 58106 72981 77274 87159 90577 92286 138429 145962 174318 181154 218943 261477 271731 276858 415287 437886 522954 543462 656829 784431 815193 830574 1245861 1313658 1539809 1568862 1630386 2353293 2445579 2491722 3079618 4619427 4706586 4891158 7059879 7336737 9238854 13858281 14119758 14673474 21179637 22010211 27716562 41574843 42359274 44020422 66030633 83149686 124724529 132061266 249449058 374173587 748347174 1122520761 2245041522