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2133609450 = 235272331877
BaseRepresentation
bin111111100101100…
…0100101111101010
312111200202120221020
41333023010233222
513332201000300
6551414353310
7103605244500
oct17713045752
95450676836
102133609450
119a54043a5
124b665b836
132800579cb
14163518670
15c74a58a0
hex7f2c4bea

2133609450 has 144 divisors (see below), whose sum is σ = 6180881184. Its totient is φ = 485654400.

The previous prime is 2133609437. The next prime is 2133609451. The reversal of 2133609450 is 549063312.

It is not an unprimeable number, because it can be changed into a prime (2133609451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2432412 + ... + 2433288.

It is an arithmetic number, because the mean of its divisors is an integer number (42922786).

Almost surely, 22133609450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133609450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090440592).

2133609450 is an abundant number, since it is smaller than the sum of its proper divisors (4047271734).

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

2133609450 is a wasteful number, since it uses less digits than its factorization.

2133609450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 2133609450 is about 46191.0104890551. The cubic root of 2133609450 is about 1287.3747161846.

The spelling of 2133609450 in words is "two billion, one hundred thirty-three million, six hundred nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 331 350 490 525 662 735 877 993 1050 1225 1470 1655 1754 1986 2317 2450 2631 3310 3675 4385 4634 4965 5262 6139 6951 7350 8275 8770 9930 11585 12278 13155 13902 16219 16550 18417 21925 23170 24825 26310 30695 32438 34755 36834 42973 43850 48657 49650 57925 61390 65775 69510 81095 85946 92085 97314 115850 128919 131550 153475 162190 173775 184170 214865 243285 257838 290287 306950 347550 405475 429730 460425 486570 580574 644595 810950 870861 920850 1074325 1216425 1289190 1451435 1741722 2032009 2148650 2432850 2902870 3222975 4064018 4354305 6096027 6445950 7257175 8708610 10160045 12192054 14224063 14514350 20320090 21771525 28448126 30480135 42672189 43543050 50800225 60960270 71120315 85344378 101600450 142240630 152400675 213360945 304801350 355601575 426721890 711203150 1066804725 2133609450