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2151233000 = 235371911609
BaseRepresentation
bin1000000000111001…
…0011010111101000
312112220220221220022
42000032103113220
513401203424000
6553244220012
7104211115220
oct20016232750
95486827808
102151233000
11a04351214
1250053a608
132838b8547
141659c5080
15c8cd7585
hex803935e8

2151233000 has 128 divisors (see below), whose sum is σ = 5786726400. Its totient is φ = 733248000.

The previous prime is 2151232999. The next prime is 2151233009. The reversal of 2151233000 is 3321512.

It is a self number, because there is not a number n which added to its sum of digits gives 2151233000.

It is not an unprimeable number, because it can be changed into a prime (2151233009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336196 + ... + 1337804.

It is an arithmetic number, because the mean of its divisors is an integer number (45208800).

Almost surely, 22151233000 is an apocalyptic number.

2151233000 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 2151233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893363200).

2151233000 is an abundant number, since it is smaller than the sum of its proper divisors (3635493400).

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

2151233000 is a wasteful number, since it uses less digits than its factorization.

2151233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2151233000 is about 46381.3863527170. The cubic root of 2151233000 is about 1290.9095602422.

Adding to 2151233000 its reverse (3321512), we get a palindrome (2154554512).

The spelling of 2151233000 in words is "two billion, one hundred fifty-one million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 191 200 250 280 350 382 500 700 764 875 955 1000 1337 1400 1528 1609 1750 1910 2674 3218 3500 3820 4775 5348 6436 6685 7000 7640 8045 9550 10696 11263 12872 13370 16090 19100 22526 23875 26740 32180 33425 38200 40225 45052 47750 53480 56315 64360 66850 80450 90104 95500 112630 133700 160900 167125 191000 201125 225260 267400 281575 307319 321800 334250 402250 450520 563150 614638 668500 804500 1126300 1229276 1337000 1407875 1536595 1609000 2151233 2252600 2458552 2815750 3073190 4302466 5631500 6146380 7682975 8604932 10756165 11263000 12292760 15365950 17209864 21512330 30731900 38414875 43024660 53780825 61463800 76829750 86049320 107561650 153659500 215123300 268904125 307319000 430246600 537808250 1075616500 2151233000