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2144664210 = 2351323373641
BaseRepresentation
bin111111111010100…
…1111101010010010
312112110120020012210
41333311033222102
513343013223320
6552451332550
7104101226223
oct17765175222
95473506183
102144664210
11a00674a67
124ba2b1156
132824286a0
14164b9524a
15c843b0e0
hex7fd4fa92

2144664210 has 128 divisors (see below), whose sum is σ = 5808692736. Its totient is φ = 502824960.

The previous prime is 2144664209. The next prime is 2144664211. The reversal of 2144664210 is 124664412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2144664209) and next prime (2144664211).

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

It is not an unprimeable number, because it can be changed into a prime (2144664211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3345490 + ... + 3346130.

It is an arithmetic number, because the mean of its divisors is an integer number (45380412).

Almost surely, 22144664210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144664210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904346368).

2144664210 is an abundant number, since it is smaller than the sum of its proper divisors (3664028526).

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

2144664210 is a wasteful number, since it uses less digits than its factorization.

2144664210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2144664210 is about 46310.5194313344. The cubic root of 2144664210 is about 1289.5942898187.

The spelling of 2144664210 in words is "two billion, one hundred forty-four million, six hundred sixty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 373 390 598 641 690 746 897 1119 1282 1495 1794 1865 1923 2238 2990 3205 3730 3846 4485 4849 5595 6410 8333 8579 8970 9615 9698 11190 14547 14743 16666 17158 19230 24245 24999 25737 29094 29486 41665 42895 44229 48490 49998 51474 72735 73715 83330 85790 88458 111527 124995 128685 145470 147430 191659 221145 223054 239093 249990 257370 334581 383318 442290 478186 557635 574977 669162 717279 958295 1115270 1149954 1195465 1434558 1672905 1916590 2390930 2874885 3108209 3345810 3586395 5499139 5749770 6216418 7172790 9324627 10998278 15541045 16497417 18649254 27495695 31082090 32994834 46623135 54991390 71488807 82487085 93246270 142977614 164974170 214466421 357444035 428932842 714888070 1072332105 2144664210