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198622640241 = 3423221532
BaseRepresentation
bin1011100011111011010…
…1001111100001110001
3200222200100112120010000
42320332311033201301
511223234343441431
6231125044300213
720231024404614
oct2707665174161
9628610476100
10198622640241
1177265336453
12325b23a1669
1315964b697bc
1498831c417b
1552775a29e6
hex2e3ed4f871

198622640241 has 45 divisors (see below), whose sum is σ = 310313253019. Its totient is φ = 126599086944.

The previous prime is 198622640107. The next prime is 198622640299. The reversal of 198622640241 is 142046226891.

It is a happy number.

The square root of 198622640241 is 445671.

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

198622640241 is a `hidden beast` number, since 1 + 98 + 62 + 264 + 0 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14663999025 + 183958641216 = 121095^2 + 428904^2 .

It is not a de Polignac number, because 198622640241 - 215 = 198622607473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198622640441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 92252821 + ... + 92254973.

Almost surely, 2198622640241 is an apocalyptic number.

198622640241 is the 445671-st square number.

198622640241 is the 222836-th centered octagonal number.

It is an amenable number.

198622640241 is a deficient number, since it is larger than the sum of its proper divisors (111690612778).

198622640241 is an frugal number, since it uses more digits than its factorization.

198622640241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 198622640241 in words is "one hundred ninety-eight billion, six hundred twenty-two million, six hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 23 27 69 81 207 529 621 1587 1863 2153 4761 6459 14283 19377 42849 49519 58131 148557 174393 445671 1138937 1337013 3416811 4011039 4635409 10250433 13906227 30751299 41718681 92253897 106614407 125156043 319843221 375468129 959529663 2452131361 2878588989 7356394083 8635766967 22069182249 66207546747 198622640241