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21203222220 = 223253714872141
BaseRepresentation
bin10011101111110011…
…110111111011001100
32000201200121021211200
4103233303313323030
5321411011102340
613423550345500
71350302262255
oct235763677314
960650537750
1021203222220
118aa0736754
124138abb290
131ccba5994b
141052013b2c
158416e1330
hex4efcf7ecc

21203222220 has 144 divisors (see below), whose sum is σ = 66130017408. Its totient is φ = 5495109120.

The previous prime is 21203222191. The next prime is 21203222251. The reversal of 21203222220 is 2222230212.

21203222220 is a `hidden beast` number, since 2 + 120 + 322 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21203222193 and 21203222202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9902350 + ... + 9904490.

It is an arithmetic number, because the mean of its divisors is an integer number (459236232).

Almost surely, 221203222220 is an apocalyptic number.

21203222220 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 21203222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33065008704).

21203222220 is an abundant number, since it is smaller than the sum of its proper divisors (44926795188).

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

21203222220 is a wasteful number, since it uses less digits than its factorization.

21203222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21203222220 its reverse (2222230212), we get a palindrome (23425452432).

The spelling of 21203222220 in words is "twenty-one billion, two hundred three million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1487 1665 2141 2220 2974 3330 4282 4461 5948 6423 6660 7435 8564 8922 10705 12846 13383 14870 17844 19269 21410 22305 25692 26766 29740 32115 38538 42820 44610 53532 55019 64230 66915 77076 79217 89220 96345 110038 128460 133830 158434 165057 192690 220076 237651 267660 275095 316868 330114 385380 396085 475302 495171 550190 660228 712953 792170 825285 950604 990342 1100380 1188255 1425906 1584340 1650570 1980684 2376510 2475855 2851812 3183667 3301140 3564765 4753020 4951710 6367334 7129530 9551001 9903420 12734668 14259060 15918335 19102002 28653003 31836670 38204004 47755005 57306006 63673340 95510010 114612012 117795679 143265015 191020020 235591358 286530030 353387037 471182716 573060060 588978395 706774074 1060161111 1177956790 1413548148 1766935185 2120322222 2355913580 3533870370 4240644444 5300805555 7067740740 10601611110 21203222220