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2158201944 = 23321913112043
BaseRepresentation
bin1000000010100011…
…1000110001011000
312120102001000111100
42000220320301120
513404444430234
6554053431400
7104324261643
oct20050706130
95512030440
102158201944
11a08281078
1250293b560
13285188592
141668baa5a
15c9712399
hex80a38c58

2158201944 has 96 divisors (see below), whose sum is σ = 6200251200. Its totient is φ = 676278720.

The previous prime is 2158201943. The next prime is 2158201957. The reversal of 2158201944 is 4491028512.

2158201944 is a `hidden beast` number, since 21 + 582 + 0 + 19 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2158201899 and 2158201908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158201943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173187 + ... + 185229.

It is an arithmetic number, because the mean of its divisors is an integer number (64585950).

Almost surely, 22158201944 is an apocalyptic number.

2158201944 is a gapful number since it is divisible by the number (24) 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 2158201944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100125600).

2158201944 is an abundant number, since it is smaller than the sum of its proper divisors (4042049256).

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

2158201944 is a wasteful number, since it uses less digits than its factorization.

2158201944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12205 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2158201944 is about 46456.4521245435. The cubic root of 2158201944 is about 1292.3020297960.

The spelling of 2158201944 in words is "two billion, one hundred fifty-eight million, two hundred one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 131 152 171 228 262 342 393 456 524 684 786 1048 1179 1368 1572 2358 2489 3144 4716 4978 7467 9432 9956 12043 14934 19912 22401 24086 29868 36129 44802 48172 59736 72258 89604 96344 108387 144516 179208 216774 228817 289032 433548 457634 686451 867096 915268 1372902 1577633 1830536 2059353 2745804 3155266 4118706 4732899 5491608 6310532 8237412 9465798 12621064 14198697 16474824 18931596 28397394 29975027 37863192 56794788 59950054 89925081 113589576 119900108 179850162 239800216 269775243 359700324 539550486 719400648 1079100972 2158201944