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202212020020 = 225711634312027
BaseRepresentation
bin1011110001010011000…
…1101000111100110100
3201022221111120221111211
42330110301220330310
511303112234120040
6232521145211204
720416000544653
oct2742461507464
9638844527454
10202212020020
117883746061a
1233234490b04
13160b769b96a
149b03bab19a
1553d77678ea
hex2f14c68f34

202212020020 has 96 divisors (see below), whose sum is σ = 434487545856. Its totient is φ = 79033449600.

The previous prime is 202212019981. The next prime is 202212020027. The reversal of 202212020020 is 20020212202.

202212020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212020027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99758247 + ... + 99760273.

It is an arithmetic number, because the mean of its divisors is an integer number (4525911936).

Almost surely, 2202212020020 is an apocalyptic number.

202212020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212020020 is an abundant number, since it is smaller than the sum of its proper divisors (232275525836).

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

202212020020 is a wasteful number, since it uses less digits than its factorization.

202212020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202212020020 its reverse (20020212202), we get a palindrome (222232232222).

The spelling of 202212020020 in words is "two hundred two billion, two hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 163 284 326 355 431 652 710 815 862 1420 1630 1724 2027 2155 3260 4054 4310 8108 8620 10135 11573 20270 23146 30601 40540 46292 57865 61202 70253 115730 122404 140506 143917 153005 231460 281012 287834 306010 330401 351265 575668 612020 660802 702530 719585 873637 1321604 1405060 1439170 1652005 1747274 2878340 3304010 3494548 4368185 4987963 6608020 8736370 9975926 17472740 19951852 23458471 24939815 46916942 49879630 62028227 93833884 99759260 117292355 124056454 142402831 234584710 248112908 284805662 310141135 469169420 569611324 620282270 712014155 1240564540 1424028310 2848056620 10110601001 20221202002 40442404004 50553005005 101106010010 202212020020