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1132640226 = 23337678461
BaseRepresentation
bin100001110000010…
…1011011111100010
32220221021002022000
41003200223133202
54304423441401
6304220224430
740032166044
oct10340533742
92827232260
101132640226
11531389403
1227739b116
1315086b623
14aa5d7a94
1569682186
hex4382b7e2

1132640226 has 64 divisors (see below), whose sum is σ = 2623896960. Its totient is φ = 361817280.

The previous prime is 1132640213. The next prime is 1132640251. The reversal of 1132640226 is 6220462311.

1132640226 is a `hidden beast` number, since 1 + 13 + 2 + 640 + 2 + 2 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1132640226.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129636 + ... + 138096.

It is an arithmetic number, because the mean of its divisors is an integer number (40998390).

Almost surely, 21132640226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132640226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311948480).

1132640226 is an abundant number, since it is smaller than the sum of its proper divisors (1491256734).

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

1132640226 is a wasteful number, since it uses less digits than its factorization.

1132640226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1132640226 is about 33654.7207089882. The cubic root of 1132640226 is about 1042.3910180574.

The spelling of 1132640226 in words is "one billion, one hundred thirty-two million, six hundred forty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 67 74 111 134 201 222 333 402 603 666 999 1206 1809 1998 2479 3618 4958 7437 8461 14874 16922 22311 25383 44622 50766 66933 76149 133866 152298 228447 313057 456894 566887 626114 939171 1133774 1700661 1878342 2817513 3401322 5101983 5635026 8452539 10203966 15305949 16905078 20974819 30611898 41949638 62924457 125848914 188773371 377546742 566320113 1132640226