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22225414120 = 2357213872269
BaseRepresentation
bin10100101100101111…
…001110011111101000
32010100221001000111221
4110230233032133220
5331004201222440
614113223431424
71414523621500
oct245457163750
963327030457
1022225414120
119475737648
1243832b5574
132132766b20
14110ba9aa00
158a1307d4a
hex52cbce7e8

22225414120 has 96 divisors (see below), whose sum is σ = 62646431400. Its totient is φ = 7033969152.

The previous prime is 22225414091. The next prime is 22225414177. The reversal of 22225414120 is 2141452222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13143705316 + 9081708804 = 114646^2 + 95298^2 .

It is a super-3 number, since 3×222254141203 (a number of 32 digits) contains 333 as substring.

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, 410655 + ... + 461614.

Almost surely, 222225414120 is an apocalyptic number.

22225414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22225414120 is an abundant number, since it is smaller than the sum of its proper divisors (40421017280).

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

22225414120 is a wasteful number, since it uses less digits than its factorization.

22225414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872307 (or 872296 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 22225414120 its reverse (2141452222), we get a palindrome (24366866342).

The spelling of 22225414120 in words is "twenty-two billion, two hundred twenty-five million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 872269 1744538 3489076 4361345 6105883 6978152 8722690 11339497 12211766 17445380 22678994 24423532 30529415 34890760 42741181 45357988 48847064 56697485 61058830 79376479 85482362 90715976 113394970 122117660 158752958 170964724 213705905 226789940 244235320 317505916 341929448 396882395 427411810 453579880 555635353 635011832 793764790 854823620 1111270706 1587529580 1709647240 2222541412 2778176765 3175059160 4445082824 5556353530 11112707060 22225414120