Search a number
-
+
153400202022330 = 23353461164157439
BaseRepresentation
bin100010111000010001000100…
…100011001100110110111010
3202010010220201211110020102000
4202320101010203030312322
5130101302103204203310
61302131025133521430
744211541003111044
oct4270210443146672
9663126654406360
10153400202022330
11449727299a773a
1215255ba1343276
13677976681ba93
1429c4876262a94
1512b04581754c0
hex8b84448ccdba

153400202022330 has 64 divisors (see below), whose sum is σ = 409185401241600. Its totient is φ = 40894900954560.

The previous prime is 153400202022269. The next prime is 153400202022341. The reversal of 153400202022330 is 33220202004351.

153400202022330 is a `hidden beast` number, since 1 + 5 + 3 + 400 + 2 + 0 + 2 + 0 + 223 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 153400202022294 and 153400202022303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81144250 + ... + 83013189.

It is an arithmetic number, because the mean of its divisors is an integer number (6393521894400).

Almost surely, 2153400202022330 is an apocalyptic number.

153400202022330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153400202022330 is an abundant number, since it is smaller than the sum of its proper divisors (255785199219270).

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

153400202022330 is a wasteful number, since it uses less digits than its factorization.

153400202022330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164160916 (or 164160910 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 153400202022330 its reverse (33220202004351), we get a palindrome (186620404026681).

The spelling of 153400202022330 in words is "one hundred fifty-three trillion, four hundred billion, two hundred two million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3461 6922 10383 17305 20766 31149 34610 51915 62298 93447 103830 155745 186894 311490 467235 934470 164157439 328314878 492472317 820787195 984944634 1477416951 1641574390 2462361585 2954833902 4432250853 4924723170 7387084755 8864501706 14774169510 22161254265 44322508530 568148896379 1136297792758 1704446689137 2840744481895 3408893378274 5113340067411 5681488963790 8522233445685 10226680134822 15340020202233 17044466891370 25566700337055 30680040404466 51133400674110 76700101011165 153400202022330