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2142234420 = 2235194145833
BaseRepresentation
bin111111110101111…
…1110011100110100
312112021222210011120
41333223332130310
513341403000140
6552323303540
7104041456254
oct17753763464
95467883146
102142234420
119aa265477
124b951abb0
13281a87741
14164721964
15c810b1d0
hex7fafe734

2142234420 has 96 divisors (see below), whose sum is σ = 6468094080. Its totient is φ = 527984640.

The previous prime is 2142234407. The next prime is 2142234431. The reversal of 2142234420 is 244322412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23824 + ... + 69656.

It is an arithmetic number, because the mean of its divisors is an integer number (67375980).

Almost surely, 22142234420 is an apocalyptic number.

2142234420 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 2142234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234047040).

2142234420 is an abundant number, since it is smaller than the sum of its proper divisors (4325859660).

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

2142234420 is a wasteful number, since it uses less digits than its factorization.

2142234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45905 (or 45903 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2142234420 is about 46284.2783242863. The cubic root of 2142234420 is about 1289.1070919656.

Adding to 2142234420 its reverse (244322412), we get a palindrome (2386556832).

The spelling of 2142234420 in words is "two billion, one hundred forty-two million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9348 11685 15580 23370 45833 46740 91666 137499 183332 229165 274998 458330 549996 687495 870827 916660 1374990 1741654 1879153 2612481 2749980 3483308 3758306 4354135 5224962 5637459 7516612 8708270 9395765 10449924 11274918 13062405 17416540 18791530 22549836 26124810 28187295 35703907 37583060 52249620 56374590 71407814 107111721 112749180 142815628 178519535 214223442 357039070 428446884 535558605 714078140 1071117210 2142234420