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2164672230 = 235729615827
BaseRepresentation
bin1000000100000110…
…0100011011100110
312120212012202001120
42001001210123212
513413124002410
6554444234410
7104433260520
oct20101443346
95525182046
102164672230
11a109a0316
12504b3ba06
13286612656
141676c2a10
15ca08e570
hex810646e6

2164672230 has 128 divisors (see below), whose sum is σ = 6243886080. Its totient is φ = 469808640.

The previous prime is 2164672229. The next prime is 2164672231. The reversal of 2164672230 is 322764612.

It is an interprime number because it is at equal distance from previous prime (2164672229) and next prime (2164672231).

It is a junction number, because it is equal to n+sod(n) for n = 2164672191 and 2164672200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164672231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368577 + ... + 374403.

It is an arithmetic number, because the mean of its divisors is an integer number (48780360).

Almost surely, 22164672230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164672230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121943040).

2164672230 is an abundant number, since it is smaller than the sum of its proper divisors (4079213850).

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

2164672230 is a wasteful number, since it uses less digits than its factorization.

2164672230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2164672230 is about 46526.0381936825. The cubic root of 2164672230 is about 1293.5921811739.

The spelling of 2164672230 in words is "two billion, one hundred sixty-four million, six hundred seventy-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 61 70 87 105 122 145 174 183 203 210 290 305 366 406 427 435 609 610 854 870 915 1015 1218 1281 1769 1830 2030 2135 2562 3045 3538 4270 5307 5827 6090 6405 8845 10614 11654 12383 12810 17481 17690 24766 26535 29135 34962 37149 40789 53070 58270 61915 74298 81578 87405 122367 123830 168983 174810 185745 203945 244734 337966 355447 371490 407890 506949 611835 710894 844915 1013898 1066341 1182881 1223670 1689830 1777235 2132682 2365762 2488129 2534745 3548643 3554470 4976258 5069490 5331705 5914405 7097286 7464387 10307963 10663410 11828810 12440645 14928774 17743215 20615926 24881290 30923889 35486430 37321935 51539815 61847778 72155741 74643870 103079630 144311482 154619445 216467223 309238890 360778705 432934446 721557410 1082336115 2164672230