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2144451900 = 2235265910847
BaseRepresentation
bin111111111010001…
…1011110100111100
312112110011102222110
41333310123310330
513342434430100
6552443014020
7104066353233
oct17764336474
95473142873
102144451900
11a0053a4a8
124ba20a310
13282382b66
14164b3bb1a
15c83e8250
hex7fd1bd3c

2144451900 has 72 divisors (see below), whose sum is σ = 6214602240. Its totient is φ = 570933440.

The previous prime is 2144451887. The next prime is 2144451923. The reversal of 2144451900 is 91544412.

It is a super-2 number, since 2×21444519002 = 9197347902827220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192277 + ... + 203123.

It is an arithmetic number, because the mean of its divisors is an integer number (86313920).

Almost surely, 22144451900 is an apocalyptic number.

2144451900 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 2144451900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107301120).

2144451900 is an abundant number, since it is smaller than the sum of its proper divisors (4070150340).

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

2144451900 is a wasteful number, since it uses less digits than its factorization.

2144451900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2144451900 is about 46308.2271308242. The cubic root of 2144451900 is about 1289.5517341593.

The spelling of 2144451900 in words is "two billion, one hundred forty-four million, four hundred fifty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 659 1318 1977 2636 3295 3954 6590 7908 9885 10847 13180 16475 19770 21694 32541 32950 39540 43388 49425 54235 65082 65900 98850 108470 130164 162705 197700 216940 271175 325410 542350 650820 813525 1084700 1627050 3254100 7148173 14296346 21444519 28592692 35740865 42889038 71481730 85778076 107222595 142963460 178704325 214445190 357408650 428890380 536112975 714817300 1072225950 2144451900