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2090218770 = 234553181269
BaseRepresentation
bin111110010010110…
…0011010100010010
312101200010010010000
41330211203110102
513240044000040
6543224350430
7102540365163
oct17445432422
95350103100
102090218770
11982968332
124a4015416
13274074a53
1415b86176a
15c3784130
hex7c963512

2090218770 has 160 divisors (see below), whose sum is σ = 5779453680. Its totient is φ = 541831680.

The previous prime is 2090218769. The next prime is 2090218789. The reversal of 2090218770 is 778120902.

It can be written as a sum of positive squares in 8 ways, for example, as 104714289 + 1985504481 = 10233^2 + 44559^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7770196 + ... + 7770464.

Almost surely, 22090218770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090218770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889726840).

2090218770 is an abundant number, since it is smaller than the sum of its proper divisors (3689234910).

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

2090218770 is a wasteful number, since it uses less digits than its factorization.

2090218770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2090218770 is about 45718.9104200877. The cubic root of 2090218770 is about 1278.5878734266.

The spelling of 2090218770 in words is "two billion, ninety million, two hundred eighteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 181 265 269 270 318 362 405 477 530 538 543 795 807 810 905 954 1086 1345 1431 1590 1614 1629 1810 2385 2421 2690 2715 2862 3258 4035 4293 4770 4842 4887 5430 7155 7263 8070 8145 8586 9593 9774 12105 14257 14310 14526 14661 16290 19186 21465 21789 24210 24435 28514 28779 29322 36315 42771 42930 43578 47965 48689 48870 57558 71285 72630 73305 85542 86337 95930 97378 108945 128313 142570 143895 146067 146610 172674 213855 217890 243445 256626 259011 287790 292134 384939 427710 431685 438201 486890 518022 641565 730335 769878 777033 863370 876402 1154817 1283130 1295055 1314603 1460670 1554066 1924695 2191005 2309634 2580517 2590110 2629206 3849390 3885165 3943809 4382010 5161034 5774085 6573015 7741551 7770330 7887618 11548170 12902585 13146030 15483102 19719045 23224653 25805170 38707755 39438090 46449306 69673959 77415510 116123265 139347918 209021877 232246530 348369795 418043754 696739590 1045109385 2090218770