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1890220968 = 2333139157401
BaseRepresentation
bin111000010101010…
…0111101110101000
311212201210011201000
41300222213232220
512332344032333
6511321555000
764561420206
oct16052475650
94781704630
101890220968
1188aa86a99
12449045a60
132417bb75c
1413d080076
15b0e2a713
hex70aa7ba8

1890220968 has 128 divisors (see below), whose sum is σ = 5335344000. Its totient is φ = 620006400.

The previous prime is 1890220967. The next prime is 1890220979. The reversal of 1890220968 is 8690220981.

It is not an unprimeable number, because it can be changed into a prime (1890220967) 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, 4713568 + ... + 4713968.

It is an arithmetic number, because the mean of its divisors is an integer number (41682375).

Almost surely, 21890220968 is an apocalyptic number.

1890220968 is a gapful number since it is divisible by the number (18) 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 1890220968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667672000).

1890220968 is an abundant number, since it is smaller than the sum of its proper divisors (3445123032).

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

1890220968 is a wasteful number, since it uses less digits than its factorization.

1890220968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1890220968 is about 43476.6715377339. The cubic root of 1890220968 is about 1236.4337717776.

The spelling of 1890220968 in words is "one billion, eight hundred ninety million, two hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 157 216 278 314 401 417 471 556 628 802 834 942 1112 1203 1251 1256 1413 1604 1668 1884 2406 2502 2826 3208 3336 3609 3753 3768 4239 4812 5004 5652 7218 7506 8478 9624 10008 10827 11304 14436 15012 16956 21654 21823 28872 30024 33912 43308 43646 55739 62957 65469 86616 87292 111478 125914 130938 167217 174584 188871 196407 222956 251828 261876 334434 377742 392814 445912 501651 503656 523752 566613 589221 668868 755484 785628 1003302 1133226 1178442 1337736 1504953 1510968 1571256 1699839 2006604 2266452 2356884 3009906 3399678 4013208 4532904 4713768 6019812 6799356 8751023 12039624 13598712 17502046 26253069 35004092 52506138 70008184 78759207 105012276 157518414 210024552 236277621 315036828 472555242 630073656 945110484 1890220968