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2144200008 = 2331919723869
BaseRepresentation
bin111111111001101…
…1110010101001000
312112102200122110010
41333303132111020
513342403400013
6552433351520
7104064253656
oct17763362510
95472618403
102144200008
11a00388225
124ba1085a0
132822c5302
14164ab3dd6
15c83987c3
hex7fcde548

2144200008 has 64 divisors (see below), whose sum is σ = 5671512000. Its totient is φ = 673650432.

The previous prime is 2144199997. The next prime is 2144200039. The reversal of 2144200008 is 8000024412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77898 + ... + 101766.

It is an arithmetic number, because the mean of its divisors is an integer number (88617375).

Almost surely, 22144200008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144200008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835756000).

2144200008 is an abundant number, since it is smaller than the sum of its proper divisors (3527311992).

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

2144200008 is a wasteful number, since it uses less digits than its factorization.

2144200008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24094 (or 24090 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2144200008 is about 46305.5073182446. The cubic root of 2144200008 is about 1289.5012409953.

The spelling of 2144200008 in words is "two billion, one hundred forty-four million, two hundred thousand, eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 197 228 394 456 591 788 1182 1576 2364 3743 4728 7486 11229 14972 22458 23869 29944 44916 47738 71607 89832 95476 143214 190952 286428 453511 572856 907022 1360533 1814044 2721066 3628088 4702193 5442132 9404386 10884264 14106579 18808772 28213158 37617544 56426316 89341667 112852632 178683334 268025001 357366668 536050002 714733336 1072100004 2144200008