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222198340 = 2257213107163
BaseRepresentation
bin11010011111001…
…11101001000100
3120111002211211011
431033213221010
5423340321330
634014252004
75335440400
oct1517475104
9514084734
10222198340
111044749a1
12624b7004
133705a210
1421720100
151479182a
hexd3e7a44

222198340 has 144 divisors (see below), whose sum is σ = 593635392. Its totient is φ = 69237504.

The previous prime is 222198289. The next prime is 222198373. The reversal of 222198340 is 43891222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1363099 + ... + 1363261.

It is an arithmetic number, because the mean of its divisors is an integer number (4122468).

Almost surely, 2222198340 is an apocalyptic number.

222198340 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 222198340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296817696).

222198340 is an abundant number, since it is smaller than the sum of its proper divisors (371437052).

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

222198340 is a wasteful number, since it uses less digits than its factorization.

222198340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 222198340 is about 14906.3187943905. The cubic root of 222198340 is about 605.6851650611.

The spelling of 222198340 in words is "two hundred twenty-two million, one hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 107 130 140 163 182 196 214 245 260 326 364 428 455 490 535 637 652 749 815 910 980 1070 1141 1274 1391 1498 1630 1820 2119 2140 2282 2548 2782 2996 3185 3260 3745 4238 4564 5243 5564 5705 6370 6955 7490 7987 8476 9737 10486 10595 11410 12740 13910 14833 14980 15974 17441 19474 20972 21190 22820 26215 27820 29666 31948 34882 38948 39935 42380 48685 52430 59332 68159 69764 74165 79870 87205 97370 103831 104860 122087 136318 148330 159740 174410 194740 207662 226733 244174 272636 296660 340795 348820 415324 453466 488348 519155 610435 681590 854609 906932 1038310 1133665 1220870 1363180 1587131 1709218 2076620 2267330 2441740 3174262 3418436 4273045 4534660 6348524 7935655 8546090 11109917 15871310 17092180 22219834 31742620 44439668 55549585 111099170 222198340