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22198914049 = 1327321572
BaseRepresentation
bin10100101011001010…
…001000110000000001
32010022002011200020211
4110223022020300001
5330430410222144
614110435434121
71414052441014
oct245312106001
963262150224
1022198914049
119461787764
124376455941
13212a118c00
14110835d37b
1589dd21034
hex52b288c01

22198914049 has 27 divisors (see below), whose sum is σ = 24527896443. Its totient is φ = 20081872512.

The previous prime is 22198914037. The next prime is 22198914061. The reversal of 22198914049 is 94041989122.

The square root of 22198914049 is 148993.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (22198914037) and next prime (22198914061).

It can be written as a sum of positive squares in 13 ways, for example, as 20847028225 + 1351885824 = 144385^2 + 36768^2 .

It is a de Polignac number, because none of the positive numbers 2k-22198914049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22198913993 and 22198914011.

It is not an unprimeable number, because it can be changed into a prime (22198914019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141394279 + ... + 141394435.

It is an arithmetic number, because the mean of its divisors is an integer number (908440609).

Almost surely, 222198914049 is an apocalyptic number.

22198914049 is the 148993-rd square number.

22198914049 is the 74497-th centered octagonal number.

It is an amenable number.

22198914049 is a deficient number, since it is larger than the sum of its proper divisors (2328982394).

22198914049 is an frugal number, since it uses more digits than its factorization.

22198914049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 22198914049 by its sum of digits (49), we get a square (1087746788401 = 10429512).

The spelling of 22198914049 in words is "twenty-two billion, one hundred ninety-eight million, nine hundred fourteen thousand, forty-nine".

Divisors: 1 13 73 157 169 949 2041 5329 11461 12337 24649 26533 69277 148993 320437 836653 900601 1799377 1936909 4165681 10876489 23391901 131354521 141394357 304094713 1707608773 22198914049