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22130600448 = 293118914717
BaseRepresentation
bin10100100111000101…
…100010101000000000
32010010022121222121110
4110213011202220000
5330310413203243
614055555323320
71412263000005
oct244705425000
963108558543
1022130600448
119427168740
1243575b0540
132118c1ab68
1410dd2598ac
15897d29e33
hex527162a00

22130600448 has 160 divisors (see below), whose sum is σ = 65044140480. Its totient is φ = 6630440960.

The previous prime is 22130600389. The next prime is 22130600549. The reversal of 22130600448 is 84400603122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496386 + ... + 1511102.

It is an arithmetic number, because the mean of its divisors is an integer number (406525878).

Almost surely, 222130600448 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 22130600448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32522070240).

22130600448 is an abundant number, since it is smaller than the sum of its proper divisors (42913540032).

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

22130600448 is a wasteful number, since it uses less digits than its factorization.

22130600448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838 (or 14822 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 22130600448 in words is "twenty-two billion, one hundred thirty million, six hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 128 132 176 178 192 256 264 267 352 356 384 512 528 534 704 712 768 979 1056 1068 1408 1424 1536 1958 2112 2136 2816 2848 2937 3916 4224 4272 5632 5696 5874 7832 8448 8544 11392 11748 14717 15664 16896 17088 22784 23496 29434 31328 34176 44151 45568 46992 58868 62656 68352 88302 93984 117736 125312 136704 161887 176604 187968 235472 250624 323774 353208 375936 470944 485661 501248 647548 706416 751872 941888 971322 1295096 1309813 1412832 1503744 1883776 1942644 2590192 2619626 2825664 3767552 3885288 3929439 5180384 5239252 5651328 7535104 7770576 7858878 10360768 10478504 11302656 14407943 15541152 15717756 20721536 20957008 22605312 28815886 31082304 31435512 41443072 41914016 43223829 57631772 62164608 62871024 82886144 83828032 86447658 115263544 124329216 125742048 167656064 172895316 230527088 248658432 251484096 335312128 345790632 461054176 502968192 670624256 691581264 922108352 1005936384 1383162528 1844216704 2011872768 2766325056 3688433408 5532650112 7376866816 11065300224 22130600448