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21835230720 = 293513612089
BaseRepresentation
bin10100010101011110…
…110010111000000000
32002100201211122111220
4110111132302320000
5324204304340340
614010404435040
71402045253532
oct242536627000
962321748456
1021835230720
119295467026
1242946a8a80
13209c981784
1410b1d2d852
1587be32ed0
hex5157b2e00

21835230720 has 160 divisors (see below), whose sum is σ = 69889232160. Its totient is φ = 5815664640.

The previous prime is 21835230713. The next prime is 21835230751. The reversal of 21835230720 is 2703253812.

It is a tau number, because it is divible by the number of its divisors (160).

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, 10451436 + ... + 10453524.

It is an arithmetic number, because the mean of its divisors is an integer number (436807701).

Almost surely, 221835230720 is an apocalyptic number.

21835230720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21835230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944616080).

21835230720 is an abundant number, since it is smaller than the sum of its proper divisors (48054001440).

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

21835230720 is a wasteful number, since it uses less digits than its factorization.

21835230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 21835230720 in words is "twenty-one billion, eight hundred thirty-five million, two hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1361 1536 1920 2089 2560 2722 3840 4083 4178 5444 6267 6805 7680 8166 8356 10445 10888 12534 13610 16332 16712 20415 20890 21776 25068 27220 31335 32664 33424 40830 41780 43552 50136 54440 62670 65328 66848 81660 83560 87104 100272 108880 125340 130656 133696 163320 167120 174208 200544 217760 250680 261312 267392 326640 334240 348416 401088 435520 501360 522624 534784 653280 668480 696832 802176 871040 1002720 1045248 1069568 1306560 1336960 1604352 1742080 2005440 2090496 2613120 2673920 2843129 3208704 3484160 4010880 5226240 5347840 5686258 8021760 8529387 10452480 11372516 14215645 16043520 17058774 22745032 28431290 34117548 42646935 45490064 56862580 68235096 85293870 90980128 113725160 136470192 170587740 181960256 227450320 272940384 341175480 363920512 454900640 545880768 682350960 727841024 909801280 1091761536 1364701920 1455682048 1819602560 2183523072 2729403840 3639205120 4367046144 5458807680 7278410240 10917615360 21835230720