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2133155200 = 27521160601
BaseRepresentation
bin111111100100101…
…0101110110000000
312111122220111211011
41333021111312000
513332041431300
6551400530304
7103601343241
oct17711256600
95448814734
102133155200
119a5124090
124b6480994
1327cc29017
1416343acc8
15c7415eba
hex7f255d80

2133155200 has 96 divisors (see below), whose sum is σ = 5748705720. Its totient is φ = 775680000.

The previous prime is 2133155173. The next prime is 2133155209. The reversal of 2133155200 is 25513312.

It is a super-2 number, since 2×21331552002 = 9100702214574080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133155209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4900 + ... + 65500.

Almost surely, 22133155200 is an apocalyptic number.

2133155200 is a gapful number since it is divisible by the number (20) 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 2133155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874352860).

2133155200 is an abundant number, since it is smaller than the sum of its proper divisors (3615550520).

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

2133155200 is a wasteful number, since it uses less digits than its factorization.

2133155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60636 (or 60619 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2133155200 is about 46186.0931450150. The cubic root of 2133155200 is about 1287.2833480930.

Adding to 2133155200 its reverse (25513312), we get a palindrome (2158668512).

The spelling of 2133155200 in words is "two billion, one hundred thirty-three million, one hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 60601 121202 242404 303005 484808 606010 666611 969616 1212020 1333222 1515025 1939232 2424040 2666444 3030050 3333055 3878464 4848080 5332888 6060100 6666110 7756928 9696160 10665776 12120200 13332220 16665275 19392320 21331552 24240400 26664440 33330550 38784640 42663104 48480800 53328880 66661100 85326208 96961600 106657760 133322200 193923200 213315520 266644400 426631040 533288800 1066577600 2133155200