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202213110212000 = 2553172973722209
BaseRepresentation
bin101101111110100101101000…
…100110100110010110100000
3222111222101101022221100221022
4231332211220212212112200
5203001024422203241000
61554023230445545012
760410262243611156
oct5576455046462640
9874871338840838
10202213110212000
115948210a036688
121a81a309575168
1388aa7cacc1ac4
1437d124980d3d6
15185a061463585
hexb7e9689a65a0

202213110212000 has 96 divisors (see below), whose sum is σ = 526063353837840. Its totient is φ = 76127288524800.

The previous prime is 202213110211997. The next prime is 202213110212011. The reversal of 202213110212000 is 212011312202.

202213110212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10383629748496 + 191829480463504 = 3222364^2 + 13850252^2 .

It is a super-2 number, since 2×2022131102120002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 202213110212000.

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, 1486793105 + ... + 1486929104.

Almost surely, 2202213110212000 is an apocalyptic number.

202213110212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202213110212000 is an abundant number, since it is smaller than the sum of its proper divisors (323850243625840).

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

202213110212000 is a wasteful number, since it uses less digits than its factorization.

202213110212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973722251 (or 2973722233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 202213110212000 its reverse (212011312202), we get a palindrome (202425121524202).

The spelling of 202213110212000 in words is "two hundred two trillion, two hundred thirteen billion, one hundred ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 2973722209 5947444418 11894888836 14868611045 23789777672 29737222090 47579555344 50553277553 59474444180 74343055225 95159110688 101106555106 118948888360 148686110450 202213110212 237897776720 252766387765 297372220900 371715276125 404426220424 475795553440 505532775530 594744441800 743430552250 808852440848 1011065551060 1189488883600 1263831938825 1486861104500 1617704881696 2022131102120 2378977767200 2527663877650 2973722209000 4044262204240 5055327755300 5947444418000 6319159694125 8088524408480 10110655510600 11894888836000 12638319388250 20221311021200 25276638776500 40442622042400 50553277553000 101106555106000 202213110212000