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2242260152 = 23111741139263
BaseRepresentation
bin1000010110100110…
…0010110010111000
312210021012121200022
42011221202302320
514043004311102
61010255230012
7106364616416
oct20551426270
95707177608
102242260152
11a50774270
12526b18308
13299709b72
14173b1c2b6
15d1cb85a2
hex85a62cb8

2242260152 has 128 divisors (see below), whose sum is σ = 5029516800. Its totient is φ = 925593600.

The previous prime is 2242260151. The next prime is 2242260187. The reversal of 2242260152 is 2510622422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242260151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8525573 + ... + 8525835.

It is an arithmetic number, because the mean of its divisors is an integer number (39293100).

Almost surely, 22242260152 is an apocalyptic number.

2242260152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242260152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514758400).

2242260152 is an abundant number, since it is smaller than the sum of its proper divisors (2787256648).

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

2242260152 is a wasteful number, since it uses less digits than its factorization.

2242260152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2242260152 is about 47352.5094583170. The cubic root of 2242260152 is about 1308.8664420467.

Adding to 2242260152 its reverse (2510622422), we get a palindrome (4752882574).

The spelling of 2242260152 in words is "two billion, two hundred forty-two million, two hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 41 44 68 82 88 136 139 164 187 263 278 328 374 451 526 556 697 748 902 1052 1112 1394 1496 1529 1804 2104 2363 2788 2893 3058 3608 4471 4726 5576 5699 5786 6116 7667 8942 9452 10783 11398 11572 12232 15334 17884 18904 21566 22796 23144 25993 30668 35768 36557 43132 45592 49181 51986 61336 62689 73114 86264 96883 98362 103972 118613 125378 146228 183311 193766 196724 207944 237226 250756 292456 366622 387532 393448 402127 474452 501512 621469 733244 775064 804254 948904 1065713 1242938 1466488 1498837 1608508 2016421 2131426 2485876 2997674 3217016 4032842 4262852 4971752 5995348 6836159 8065684 8525704 11990696 13672318 16131368 16487207 25480229 27344636 32974414 50960458 54689272 65948828 101920916 131897656 203841832 280282519 560565038 1121130076 2242260152