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2002090992 = 2431173127409
BaseRepresentation
bin111011101010101…
…0111101111110000
312011112021202112020
41313111113233300
513100013402432
6530355431440
7100420330656
oct16725275760
95145252466
102002090992
11938145660
1247a5b5580
1325ba2a035
1414dc80dd6
15bab7722c
hex77557bf0

2002090992 has 160 divisors (see below), whose sum is σ = 5778677760. Its totient is φ = 592220160.

The previous prime is 2002090973. The next prime is 2002090997. The reversal of 2002090992 is 2990902002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002090997) 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, 4894884 + ... + 4895292.

It is an arithmetic number, because the mean of its divisors is an integer number (36116736).

Almost surely, 22002090992 is an apocalyptic number.

2002090992 is a gapful number since it is divisible by the number (22) 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 2002090992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889338880).

2002090992 is an abundant number, since it is smaller than the sum of its proper divisors (3776586768).

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

2002090992 is a wasteful number, since it uses less digits than its factorization.

2002090992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2002090992 is about 44744.7314440482. The cubic root of 2002090992 is about 1260.3599777706.

Adding to 2002090992 its reverse (2990902002), we get a palindrome (4992992994).

The spelling of 2002090992 in words is "two billion, two million, ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 127 132 146 176 219 254 264 292 381 409 438 508 528 584 762 803 818 876 1016 1168 1227 1397 1524 1606 1636 1752 2032 2409 2454 2794 3048 3212 3272 3504 4191 4499 4818 4908 5588 6096 6424 6544 8382 8998 9271 9636 9816 11176 12848 13497 16764 17996 18542 19272 19632 22352 26994 27813 29857 33528 35992 37084 38544 51943 53988 55626 59714 67056 71984 74168 89571 101981 103886 107976 111252 119428 148336 155829 179142 203962 207772 215952 222504 238856 305943 311658 328427 358284 407924 415544 445008 477712 571373 611886 623316 656854 716568 815848 831088 985281 1142746 1223772 1246632 1313708 1433136 1631696 1714119 1970562 2285492 2447544 2493264 2627416 3428238 3791839 3941124 4570984 4895088 5254832 6856476 7583678 7882248 9141968 11375517 13712952 15167356 15764496 22751034 27425904 30334712 41710229 45502068 60669424 83420458 91004136 125130687 166840916 182008272 250261374 333681832 500522748 667363664 1001045496 2002090992