Search a number
-
+
22120851888 = 24324315972237
BaseRepresentation
bin10100100110100000…
…010110100110110000
32010002122021201002200
4110212200112212300
5330300414230023
614055010343200
71412114065362
oct244640264660
963078251080
1022120851888
11942170a483
12435428ab00
132116bb6895
1410dbc3cd32
15897051743
hex5268169b0

22120851888 has 120 divisors (see below), whose sum is σ = 63415377168. Its totient is φ = 7194410496.

The previous prime is 22120851871. The next prime is 22120851901. The reversal of 22120851888 is 88815802122.

22120851888 is a `hidden beast` number, since 2 + 2 + 120 + 8 + 518 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9887506 + ... + 9889742.

Almost surely, 222120851888 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 22120851888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707688584).

22120851888 is an abundant number, since it is smaller than the sum of its proper divisors (41294525280).

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

22120851888 is a wasteful number, since it uses less digits than its factorization.

22120851888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 22120851888 in words is "twenty-two billion, one hundred twenty million, eight hundred fifty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1597 2064 2237 3096 3194 4474 4791 6192 6388 6711 8948 9582 12776 13422 14373 17896 19164 20133 25552 26844 28746 35792 38328 40266 53688 57492 68671 76656 80532 96191 107376 114984 137342 161064 192382 206013 229968 274684 288573 322128 384764 412026 549368 577146 618039 769528 824052 865719 1098736 1154292 1236078 1539056 1648104 1731438 2308584 2472156 3296208 3462876 3572489 4617168 4944312 6925752 7144978 9888624 10717467 13851504 14289956 21434934 28579912 32152401 42869868 57159824 64304802 85739736 128609604 153617027 171479472 257219208 307234054 460851081 514438416 614468108 921702162 1228936216 1382553243 1843404324 2457872432 2765106486 3686808648 5530212972 7373617296 11060425944 22120851888