Search a number
-
+
20022935968 = 2571574311321
BaseRepresentation
bin10010101001011101…
…011100000110100000
31220200102200112111001
4102221131130012200
5312001332422333
613110505001344
71306121101420
oct225135340640
956612615431
1020022935968
118545475172
123a69783254
131b71378509
14d7d376480
157c2c9bb7d
hex4a975c1a0

20022935968 has 96 divisors (see below), whose sum is σ = 45478153728. Its totient is φ = 8500377600.

The previous prime is 20022935963. The next prime is 20022935969. The reversal of 20022935968 is 86953922002.

It is not an unprimeable number, because it can be changed into a prime (20022935963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15156748 + ... + 15158068.

It is an arithmetic number, because the mean of its divisors is an integer number (473730768).

Almost surely, 220022935968 is an apocalyptic number.

20022935968 is a gapful number since it is divisible by the number (28) 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 20022935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22739076864).

20022935968 is an abundant number, since it is smaller than the sum of its proper divisors (25455217760).

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

20022935968 is a wasteful number, since it uses less digits than its factorization.

20022935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 20022935968 in words is "twenty billion, twenty-two million, nine hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 431 628 862 1099 1256 1321 1724 2198 2512 2642 3017 3448 4396 5024 5284 6034 6896 8792 9247 10568 12068 13792 17584 18494 21136 24136 35168 36988 42272 48272 67667 73976 96544 135334 147952 207397 270668 295904 414794 473669 541336 569351 829588 947338 1082672 1138702 1451779 1659176 1894676 2165344 2277404 2903558 3318352 3789352 3985457 4554808 5807116 6636704 7578704 7970914 9109616 11614232 15157408 15941828 18219232 23228464 31883656 46456928 63767312 89388107 127534624 178776214 357552428 625716749 715104856 1251433498 1430209712 2502866996 2860419424 5005733992 10011467984 20022935968