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21220520200 = 23521121914591
BaseRepresentation
bin10011110000110101…
…110111000100001000
32000202220011010012121
4103300311313010020
5321424423121300
613425405221024
71350602305555
oct236065670410
960686133177
1021220520200
118aaa480a00
124142861774
132002505239
141054437a2c
15842eab81a
hex4f0d77108

21220520200 has 144 divisors (see below), whose sum is σ = 54526510080. Its totient is φ = 7674480000.

The previous prime is 21220520159. The next prime is 21220520221. The reversal of 21220520200 is 202502212.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4619905 + ... + 4624495.

It is an arithmetic number, because the mean of its divisors is an integer number (378656320).

Almost surely, 221220520200 is an apocalyptic number.

21220520200 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 21220520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27263255040).

21220520200 is an abundant number, since it is smaller than the sum of its proper divisors (33305989880).

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

21220520200 is a wasteful number, since it uses less digits than its factorization.

21220520200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The spelling of 21220520200 in words is "twenty-one billion, two hundred twenty million, five hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 191 200 220 242 275 382 440 484 550 605 764 955 968 1100 1210 1528 1910 2101 2200 2420 3025 3820 4202 4591 4775 4840 6050 7640 8404 9182 9550 10505 12100 16808 18364 19100 21010 22955 23111 24200 36728 38200 42020 45910 46222 50501 52525 84040 91820 92444 101002 105050 114775 115555 183640 184888 202004 210100 229550 231110 252505 404008 420200 459100 462220 505010 555511 577775 876881 918200 924440 1010020 1111022 1155550 1262525 1753762 2020040 2222044 2311100 2525050 2777555 3507524 4384405 4444088 4622200 5050100 5555110 7015048 8768810 9645691 10100200 11110220 13887775 17537620 19291382 21922025 22220440 27775550 35075240 38582764 43844050 48228455 55551100 77165528 87688100 96456910 106102601 111102200 175376200 192913820 212205202 241142275 385827640 424410404 482284550 530513005 848820808 964569100 1061026010 1929138200 2122052020 2652565025 4244104040 5305130050 10610260100 21220520200