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2158771200 = 21035228109
BaseRepresentation
bin1000000010101100…
…0011110000000000
312120110002221100220
42000223003300000
513410121134300
6554113543040
7104332152405
oct20053036000
95513087326
102158771200
11a0862a833
12502b74a80
13285327711
141669c82ac
15c97c5da0
hex80ac3c00

2158771200 has 132 divisors (see below), whose sum is σ = 7135105080. Its totient is φ = 575651840.

The previous prime is 2158771193. The next prime is 2158771201. The reversal of 2158771200 is 21778512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158771201) 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, 62746 + ... + 90854.

Almost surely, 22158771200 is an apocalyptic number.

2158771200 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 2158771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567552540).

2158771200 is an abundant number, since it is smaller than the sum of its proper divisors (4976333880).

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

2158771200 is a wasteful number, since it uses less digits than its factorization.

2158771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28142 (or 28119 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 2158771200 is about 46462.5784906520. The cubic root of 2158771200 is about 1292.4156407297.

The spelling of 2158771200 in words is "two billion, one hundred fifty-eight million, seven hundred seventy-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2400 2560 3072 3200 3840 4800 5120 6400 7680 9600 12800 15360 19200 25600 28109 38400 56218 76800 84327 112436 140545 168654 224872 281090 337308 421635 449744 562180 674616 702725 843270 899488 1124360 1349232 1405450 1686540 1798976 2108175 2248720 2698464 2810900 3373080 3597952 4216350 4497440 5396928 5621800 6746160 7195904 8432700 8994880 10793856 11243600 13492320 14391808 16865400 17989760 21587712 22487200 26984640 28783616 33730800 35979520 43175424 44974400 53969280 67461600 71959040 86350848 89948800 107938560 134923200 143918080 179897600 215877120 269846400 359795200 431754240 539692800 719590400 1079385600 2158771200