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2170000092 = 22313611631399
BaseRepresentation
bin1000000101010111…
…1001001011011100
312121020020102111210
42001111321023130
513421010000332
6555154344420
7104526460611
oct20125711334
95536212453
102170000092
11a139aa207
1250688b110
13287759730
141682ac508
15ca792ecc
hex815792dc

2170000092 has 96 divisors (see below), whose sum is σ = 5580198400. Its totient is φ = 652250880.

The previous prime is 2170000073. The next prime is 2170000097. The reversal of 2170000092 is 2900000712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170000097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550409 + ... + 1551807.

Almost surely, 22170000092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170000092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790099200).

2170000092 is an abundant number, since it is smaller than the sum of its proper divisors (3410198308).

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

2170000092 is a wasteful number, since it uses less digits than its factorization.

2170000092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2170000092 is about 46583.2597828877. The cubic root of 2170000092 is about 1294.6526086765.

The spelling of 2170000092 in words is "two billion, one hundred seventy million, ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 163 183 244 326 366 489 652 732 793 978 1399 1586 1956 2119 2379 2798 3172 4197 4238 4758 5596 6357 8394 8476 9516 9943 12714 16788 18187 19886 25428 29829 36374 39772 54561 59658 72748 85339 109122 119316 129259 170678 218244 228037 256017 258518 341356 387777 456074 512034 517036 684111 775554 912148 1024068 1109407 1368222 1551108 2218814 2736444 2964481 3328221 4437628 5928962 6656442 8893443 11857924 13312884 13910257 17786886 27820514 35573772 41730771 55641028 83461542 166923084 180833341 361666682 542500023 723333364 1085000046 2170000092