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199922750664 = 233721321005931
BaseRepresentation
bin1011101000110001010…
…0110001010011001000
3201010000221221000022220
42322030110301103020
511233420211010124
6231502050214040
720305162225200
oct2721424612310
9633027830286
10199922750664
11778721a967a
12328b5884320
1315b11312b00
149967b33400
1553017b5879
hex2e8c5314c8

199922750664 has 144 divisors (see below), whose sum is σ = 629572601520. Its totient is φ = 52726826880.

The previous prime is 199922750647. The next prime is 199922750681. The reversal of 199922750664 is 466057229991.

It is an interprime number because it is at equal distance from previous prime (199922750647) and next prime (199922750681).

It is a junction number, because it is equal to n+sod(n) for n = 199922750598 and 199922750607.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 304222 + ... + 701709.

It is an arithmetic number, because the mean of its divisors is an integer number (4372031955).

Almost surely, 2199922750664 is an apocalyptic number.

199922750664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199922750664 is an abundant number, since it is smaller than the sum of its proper divisors (429649850856).

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

199922750664 is a wasteful number, since it uses less digits than its factorization.

199922750664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005980 (or 1005956 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 199922750664 in words is "one hundred ninety-nine billion, nine hundred twenty-two million, seven hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1183 1274 1352 1911 2028 2184 2366 2548 3549 3822 4056 4732 5096 7098 7644 8281 9464 14196 15288 16562 24843 28392 33124 49686 66248 99372 198744 1005931 2011862 3017793 4023724 6035586 7041517 8047448 12071172 13077103 14083034 21124551 24142344 26154206 28166068 39231309 42249102 49290619 52308412 56332136 78462618 84498204 91539721 98581238 104616824 147871857 156925236 168996408 170002339 183079442 197162476 274619163 295743714 313850472 340004678 366158884 394324952 510007017 549238326 591487428 640778047 680009356 732317768 1020014034 1098476652 1182974856 1190016373 1281556094 1360018712 1922334141 2040028068 2196953304 2380032746 2563112188 3570049119 3844668282 4080056136 4760065492 5126224376 7140098238 7689336564 8330114611 9520130984 14280196476 15378673128 16660229222 24990343833 28560392952 33320458444 49980687666 66640916888 99961375332 199922750664