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2234044120 = 2357111742667
BaseRepresentation
bin1000010100101000…
…1100111011011000
312202200202012101211
42011022030323120
514033403402440
61005403152504
7106235030110
oct20512147330
95680665354
102234044120
11a47072460
12524215734
13297ac12c9
141729c0040
15d11e3eea
hex8528ced8

2234044120 has 128 divisors (see below), whose sum is σ = 6635727360. Its totient is φ = 655349760.

The previous prime is 2234044117. The next prime is 2234044123. The reversal of 2234044120 is 214404322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2234044117) and next prime (2234044123).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2234044091 and 2234044100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234044123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31027 + ... + 73693.

It is an arithmetic number, because the mean of its divisors is an integer number (51841620).

Almost surely, 22234044120 is an apocalyptic number.

2234044120 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 2234044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317863680).

2234044120 is an abundant number, since it is smaller than the sum of its proper divisors (4401683240).

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

2234044120 is a wasteful number, since it uses less digits than its factorization.

2234044120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42713 (or 42709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2234044120 is about 47265.6759181544. The cubic root of 2234044120 is about 1307.2658472439.

Adding to 2234044120 its reverse (214404322), we get a palindrome (2448448442).

The spelling of 2234044120 in words is "two billion, two hundred thirty-four million, forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 26180 42667 52360 85334 170668 213335 298669 341336 426670 469337 597338 725339 853340 938674 1194676 1450678 1493345 1706680 1877348 2346685 2389352 2901356 2986690 3285359 3626695 3754696 4693370 5077373 5802712 5973380 6570718 7253390 7978729 9386740 10154746 11946760 13141436 14506780 15957458 16426795 18773480 20309492 25386865 26282872 29013560 31914916 32853590 39893645 40618984 50773730 55851103 63829832 65707180 79787290 101547460 111702206 131414360 159574580 203094920 223404412 279255515 319149160 446808824 558511030 1117022060 2234044120