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98013828222 = 23419431315653
BaseRepresentation
bin101101101001000010…
…1000101010001111110
3100100222202022100210000
41123102011011101332
53101213020000342
6113005452255130
710036605536142
oct1332205052176
9310882270700
1098013828222
1138627283922
1216bb47714a6
13932019757b
144a5b365222
152839ba944c
hex16d214547e

98013828222 has 160 divisors (see below), whose sum is σ = 238407016320. Its totient is φ = 29995842240.

The previous prime is 98013828221. The next prime is 98013828223. The reversal of 98013828222 is 22282831089.

It is an interprime number because it is at equal distance from previous prime (98013828221) and next prime (98013828223).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98013828221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17335548 + ... + 17341200.

It is an arithmetic number, because the mean of its divisors is an integer number (1490043852).

Almost surely, 298013828222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98013828222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119203508160).

98013828222 is an abundant number, since it is smaller than the sum of its proper divisors (140393188098).

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

98013828222 is a wasteful number, since it uses less digits than its factorization.

98013828222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 98013828222 in words is "ninety-eight billion, thirteen million, eight hundred twenty-eight thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 81 86 114 129 131 162 171 258 262 342 387 393 513 774 786 817 1026 1161 1179 1539 1634 2322 2358 2451 2489 3078 3483 3537 4902 4978 5633 5653 6966 7074 7353 7467 10611 11266 11306 14706 14934 16899 16959 21222 22059 22401 33798 33918 44118 44802 50697 50877 66177 67203 101394 101754 107027 107407 132354 134406 152091 152631 201609 214054 214814 243079 304182 305262 321081 322221 403218 456273 457893 486158 642162 644442 729237 740543 912546 915786 963243 966663 1458474 1481086 1926486 1933326 2187711 2221629 2889729 2899989 4375422 4443258 4618501 5779458 5799978 6563133 6664887 8669187 8699967 9237002 13126266 13329774 13855503 14070317 17338374 17399934 19689399 19994661 27711006 28140634 31843349 39378798 39989322 41566509 42210951 59983983 63686698 83133018 84421902 95530047 119967966 124699527 126632853 191060094 249399054 253265706 286590141 374098581 379898559 573180282 605023631 748197162 759797118 859770423 1139695677 1210047262 1719540846 1815070893 2279391354 2579311269 3630141786 5158622538 5445212679 10890425358 16335638037 32671276074 49006914111 98013828222