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133000222240 = 2552959348337
BaseRepresentation
bin111101111011101101…
…1100101011000100000
3110201022000101022211001
41323313123211120200
54134341024102430
6141033252201344
712415604143654
oct1736733453040
9421260338731
10133000222240
1151450181546
1221939609254
13c707636272
146619b2ca64
1536d644d3ca
hex1ef76e5620

133000222240 has 96 divisors (see below), whose sum is σ = 325602834480. Its totient is φ = 51277922304.

The previous prime is 133000222169. The next prime is 133000222249. The reversal of 133000222240 is 42222000331.

It can be written as a sum of positive squares in 8 ways, for example, as 92924986896 + 40075235344 = 304836^2 + 200188^2 .

It is not an unprimeable number, because it can be changed into a prime (133000222249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2727352 + ... + 2775688.

Almost surely, 2133000222240 is an apocalyptic number.

133000222240 is a gapful number since it is divisible by the number (10) 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 133000222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162801417240).

133000222240 is an abundant number, since it is smaller than the sum of its proper divisors (192602612240).

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

133000222240 is a wasteful number, since it uses less digits than its factorization.

133000222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48974 (or 48966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 133000222240 its reverse (42222000331), we get a palindrome (175222222571).

The spelling of 133000222240 in words is "one hundred thirty-three billion, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 593 928 1160 1186 2320 2372 2965 4640 4744 5930 9488 11860 17197 18976 23720 34394 47440 48337 68788 85985 94880 96674 137576 171970 193348 241685 275152 343940 386696 483370 550304 687880 773392 966740 1375760 1401773 1546784 1933480 2751520 2803546 3866960 5607092 7008865 7733920 11214184 14017730 22428368 28035460 28663841 44856736 56070920 57327682 112141840 114655364 143319205 224283680 229310728 286638410 458621456 573276820 831251389 917242912 1146553640 1662502778 2293107280 3325005556 4156256945 4586214560 6650011112 8312513890 13300022224 16625027780 26600044448 33250055560 66500111120 133000222240