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2133044452 = 22711101191359
BaseRepresentation
bin111111100100011…
…1010110011100100
312111122200212220101
41333020322303210
513332024410302
6551354313444
7103600402330
oct17710726344
95448625811
102133044452
119a5058960
124b6428884
1327cbba7a6
1416340c7c0
15c73e3287
hex7f23ace4

2133044452 has 96 divisors (see below), whose sum is σ = 4737761280. Its totient is φ = 816240000.

The previous prime is 2133044447. The next prime is 2133044467. The reversal of 2133044452 is 2544403312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2133044452.

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, 5941449 + ... + 5941807.

It is an arithmetic number, because the mean of its divisors is an integer number (49351680).

Almost surely, 22133044452 is an apocalyptic number.

2133044452 is a gapful number since it is divisible by the number (22) 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 2133044452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368880640).

2133044452 is an abundant number, since it is smaller than the sum of its proper divisors (2604716828).

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

2133044452 is a wasteful number, since it uses less digits than its factorization.

2133044452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2133044452 is about 46184.8941971290. The cubic root of 2133044452 is about 1287.2610702135.

Adding to 2133044452 its reverse (2544403312), we get a palindrome (4677447764).

The spelling of 2133044452 in words is "two billion, one hundred thirty-three million, forty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 191 202 308 359 382 404 707 718 764 1111 1337 1414 1436 2101 2222 2513 2674 2828 3949 4202 4444 5026 5348 7777 7898 8404 10052 14707 15554 15796 19291 27643 29414 31108 36259 38582 55286 58828 68569 72518 77164 110572 135037 137138 145036 212201 253813 270074 274276 398849 424402 479983 507626 540148 754259 797698 848804 959966 1015252 1485407 1508518 1595396 1919932 2791943 2970814 3017036 5279813 5583886 5941628 6925469 10559626 11167772 13850938 21119252 27701876 48478283 76180159 96956566 152360318 193913132 304720636 533261113 1066522226 2133044452