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199272224640 = 2735891166153
BaseRepresentation
bin1011100110010110001…
…1001101011110000000
3201001100121211212101110
42321211203031132000
511231102142142030
6231313331203320
720253102650646
oct2714543153600
9631317755343
10199272224640
1177568a80865
1232753a46540
1315a39606578
149905597196
1552b46171b0
hex2e658cd780

199272224640 has 128 divisors (see below), whose sum is σ = 642317623200. Its totient is φ = 52542144512.

The previous prime is 199272224603. The next prime is 199272224659. The reversal of 199272224640 is 46422272991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199272224640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412197 + ... + 753956.

Almost surely, 2199272224640 is an apocalyptic number.

199272224640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199272224640 is an abundant number, since it is smaller than the sum of its proper divisors (443045398560).

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

199272224640 is a wasteful number, since it uses less digits than its factorization.

199272224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166264 (or 1166252 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 199272224640 in words is "one hundred ninety-nine billion, two hundred seventy-two million, two hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 267 320 356 384 445 480 534 640 712 890 960 1068 1335 1424 1780 1920 2136 2670 2848 3560 4272 5340 5696 7120 8544 10680 11392 14240 17088 21360 28480 34176 42720 56960 85440 170880 1166153 2332306 3498459 4664612 5830765 6996918 9329224 11661530 13993836 17492295 18658448 23323060 27987672 34984590 37316896 46646120 55975344 69969180 74633792 93292240 103787617 111950688 139938360 149267584 186584480 207575234 223901376 279876720 311362851 373168960 415150468 447802752 518938085 559753440 622725702 746337920 830300936 1037876170 1119506880 1245451404 1556814255 1660601872 2075752340 2239013760 2490902808 3113628510 3321203744 4151504680 4981805616 6227257020 6642407488 8303009360 9963611232 12454514040 13284814976 16606018720 19927222464 24909028080 33212037440 39854444928 49818056160 66424074880 99636112320 199272224640