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21222741700 = 22522379271431
BaseRepresentation
bin10011110000111110…
…010101011011000100
32000210001022222112101
4103300332111123010
5321431010213300
613425525001444
71350630220336
oct236076253304
960701288471
1021222741700
119000758a56
124143553284
132002b02434
141054855456
15843299b6a
hex4f0f956c4

21222741700 has 144 divisors (see below), whose sum is σ = 48956866560. Its totient is φ = 7969104000.

The previous prime is 21222741679. The next prime is 21222741703. The reversal of 21222741700 is 714722212.

It is not an unprimeable number, because it can be changed into a prime (21222741703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49240485 + ... + 49240915.

It is an arithmetic number, because the mean of its divisors is an integer number (339978240).

Almost surely, 221222741700 is an apocalyptic number.

21222741700 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 21222741700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478433280).

21222741700 is an abundant number, since it is smaller than the sum of its proper divisors (27734124860).

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

21222741700 is a wasteful number, since it uses less digits than its factorization.

21222741700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 21222741700 in words is "twenty-one billion, two hundred twenty-two million, seven hundred forty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 79 92 100 115 158 230 271 316 395 431 460 542 575 790 862 1084 1150 1355 1580 1724 1817 1975 2155 2300 2710 3634 3950 4310 5420 6233 6775 7268 7900 8620 9085 9913 10775 12466 13550 18170 19826 21409 21550 24932 27100 31165 34049 36340 39652 42818 43100 45425 49565 62330 68098 85636 90850 99130 107045 116801 124660 136196 155825 170245 181700 198260 214090 233602 247825 311650 340490 428180 467204 492407 495650 535225 584005 623300 680980 783127 851225 984814 991300 1070450 1168010 1566254 1702450 1969628 2140900 2336020 2462035 2686423 2920025 3132508 3404900 3915635 4924070 5372846 5840050 7831270 9227279 9848140 10745692 11680100 12310175 13432115 15662540 18454558 19578175 24620350 26864230 36909116 39156350 46136395 49240700 53728460 67160575 78312700 92272790 134321150 184545580 212227417 230681975 268642300 424454834 461363950 848909668 922727900 1061137085 2122274170 4244548340 5305685425 10611370850 21222741700