Search a number
-
+
2030662224 = 243413711437
BaseRepresentation
bin111100100001001…
…0111001001010000
312020112001022220000
41321002113021100
513124322142344
6533300050000
7101215226013
oct17102271120
95215038800
102030662224
1195228a648
12488093900
132649218a6
1415399b37a
15bd41ca69
hex79097250

2030662224 has 100 divisors (see below), whose sum is σ = 5920743444. Its totient is φ = 671887872.

The previous prime is 2030662219. The next prime is 2030662237. The reversal of 2030662224 is 4222660302.

2030662224 is a `hidden beast` number, since 2 + 0 + 30 + 6 + 622 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 892814400 + 1137847824 = 29880^2 + 33732^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171834 + ... + 183270.

Almost surely, 22030662224 is an apocalyptic number.

2030662224 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 2030662224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960371722).

2030662224 is an abundant number, since it is smaller than the sum of its proper divisors (3890081220).

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

2030662224 is a wasteful number, since it uses less digits than its factorization.

2030662224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11594 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2030662224 is about 45062.8696822561. The cubic root of 2030662224 is about 1266.3270869329.

The spelling of 2030662224 in words is "two billion, thirty million, six hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 274 324 411 432 548 648 822 1096 1233 1296 1644 2192 2466 3288 3699 4932 6576 7398 9864 11097 11437 14796 19728 22194 22874 29592 34311 44388 45748 59184 68622 88776 91496 102933 137244 177552 182992 205866 274488 308799 411732 548976 617598 823464 926397 1235196 1566869 1646928 1852794 2470392 3133738 3705588 4700607 4940784 6267476 7411176 9401214 12534952 14101821 14822352 18802428 25069904 28203642 37604856 42305463 56407284 75209712 84610926 112814568 126916389 169221852 225629136 253832778 338443704 507665556 676887408 1015331112 2030662224