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22002201221120 = 21159283231461
BaseRepresentation
bin1010000000010110010010…
…11000110101100000000000
32212220101112020021222022222
411000023021120311200000
510340441002003033440
6114443401030550212
74430415025423151
oct500131130654000
985811466258288
1022002201221120
117013098aa192a
122574210808368
13c37a4c8b64c3
14560cab1c5928
152824db2222b5
hex1402c9635800

22002201221120 has 96 divisors (see below), whose sum is σ = 52798306120560. Its totient is φ = 8799894405120.

The previous prime is 22002201221113. The next prime is 22002201221123. The reversal of 22002201221120 is 2112210220022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002201221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94942190 + ... + 95173650.

Almost surely, 222002201221120 is an apocalyptic number.

22002201221120 is a gapful number since it is divisible by the number (20) 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 22002201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26399153060280).

22002201221120 is an abundant number, since it is smaller than the sum of its proper divisors (30796104899440).

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

22002201221120 is an equidigital number, since it uses as much as digits as its factorization.

22002201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240771 (or 240751 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22002201221120 its reverse (2112210220022), we get a palindrome (24114411441142).

The spelling of 22002201221120 in words is "twenty-two trillion, two billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 9283 10240 18566 37132 46415 74264 92830 148528 185660 231461 297056 371320 462922 594112 742640 925844 1157305 1188224 1485280 1851688 2314610 2376448 2970560 3703376 4629220 4752896 5941120 7406752 9258440 9505792 11882240 14813504 18516880 19011584 23764480 29627008 37033760 47528960 59254016 74067520 95057920 118508032 148135040 237016064 296270080 474032128 592540160 1185080320 2148652463 2370160640 4297304926 8594609852 10743262315 17189219704 21486524630 34378439408 42973049260 68756878816 85946098520 137513757632 171892197040 275027515264 343784394080 550055030528 687568788160 1100110061056 1375137576320 2200220122112 2750275152640 4400440244224 5500550305280 11001100610560 22002201221120