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2241100134 = 2327138811553
BaseRepresentation
bin1000010110010100…
…0111100101100110
312210012000200102200
42011211013211212
514042210201014
61010214315330
7106352015430
oct20545074546
95705020380
102241100134
11a50051779
12526658b46
132993c1b70
141738d9650
15d1b39a09
hex85947966

2241100134 has 96 divisors (see below), whose sum is σ = 5986903104. Its totient is φ = 590008320.

The previous prime is 2241100133. The next prime is 2241100153. The reversal of 2241100134 is 4310011422.

It is a super-2 number, since 2×22411001342 = 10045059621229635912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241100133) 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, 1442302 + ... + 1443854.

It is an arithmetic number, because the mean of its divisors is an integer number (62363574).

Almost surely, 22241100134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241100134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993451552).

2241100134 is an abundant number, since it is smaller than the sum of its proper divisors (3745802970).

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

2241100134 is a wasteful number, since it uses less digits than its factorization.

2241100134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2241100134 is about 47340.2591247661. The cubic root of 2241100134 is about 1308.6406920692.

Adding to 2241100134 its reverse (4310011422), we get a palindrome (6551111556).

The spelling of 2241100134 in words is "two billion, two hundred forty-one million, one hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 881 1553 1638 1762 2643 3106 4659 5286 6167 7929 9318 10871 11453 12334 13977 15858 18501 20189 21742 22906 27954 32613 34359 37002 40378 55503 60567 65226 68718 80171 97839 103077 111006 121134 141323 160342 181701 195678 206154 240513 282646 363402 423969 481026 721539 847938 1271907 1368193 1443078 2543814 2736386 4104579 8209158 9577351 12313737 17786509 19154702 24627474 28732053 35573018 53359527 57464106 86196159 106719054 124505563 160078581 172392318 249011126 320157162 373516689 747033378 1120550067 2241100134