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2159923416 = 233753733323
BaseRepresentation
bin1000000010111101…
…1101000011011000
312120112021110220120
42000233131003120
513410420022131
6554154353240
7104345021550
oct20057350330
95515243816
102159923416
11a09247482
1250342b820
1328563bcc1
14166c08160
15c9952496
hex80bdd0d8

2159923416 has 128 divisors (see below), whose sum is σ = 6375697920. Its totient is φ = 597003264.

The previous prime is 2159923379. The next prime is 2159923429. The reversal of 2159923416 is 6143299512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648331 + ... + 651653.

It is an arithmetic number, because the mean of its divisors is an integer number (49810140).

Almost surely, 22159923416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159923416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187848960).

2159923416 is an abundant number, since it is smaller than the sum of its proper divisors (4215774504).

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

2159923416 is a wasteful number, since it uses less digits than its factorization.

2159923416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3461 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 2159923416 is about 46474.9762345286. The cubic root of 2159923416 is about 1292.6455365028.

The spelling of 2159923416 in words is "two billion, one hundred fifty-nine million, nine hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 73 84 106 146 159 168 212 219 292 318 371 424 438 511 584 636 742 876 1022 1113 1272 1484 1533 1752 2044 2226 2968 3066 3323 3869 4088 4452 6132 6646 7738 8904 9969 11607 12264 13292 15476 19938 23214 23261 26584 27083 30952 39876 46428 46522 54166 69783 79752 81249 92856 93044 108332 139566 162498 176119 186088 216664 242579 279132 324996 352238 485158 528357 558264 649992 704476 727737 970316 1056714 1232833 1408952 1455474 1698053 1940632 2113428 2465666 2910948 3396106 3698499 4226856 4931332 5094159 5821896 6792212 7396998 9862664 10188318 12856687 13584424 14793996 20376636 25713374 29587992 38570061 40753272 51426748 77140122 89996809 102853496 154280244 179993618 269990427 308560488 359987236 539980854 719974472 1079961708 2159923416