Search a number
-
+
212259040 = 2557189517
BaseRepresentation
bin11001010011011…
…01000011100000
3112210101212122221
430221231003200
5413314242130
633021240424
75155113010
oct1451550340
9483355587
10212259040
11a98a63a4
125b103114
1334c8a186
1420293c40
151397b87a
hexca6d0e0

212259040 has 48 divisors (see below), whose sum is σ = 573102432. Its totient is φ = 72774144.

The previous prime is 212259031. The next prime is 212259041. The reversal of 212259040 is 40952212.

It is a junction number, because it is equal to n+sod(n) for n = 212258996 and 212259014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212259041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93639 + ... + 95878.

It is an arithmetic number, because the mean of its divisors is an integer number (11939634).

Almost surely, 2212259040 is an apocalyptic number.

212259040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212259040 is an abundant number, since it is smaller than the sum of its proper divisors (360843392).

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

212259040 is a wasteful number, since it uses less digits than its factorization.

212259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189539 (or 189531 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 212259040 is about 14569.1125330268. The cubic root of 212259040 is about 596.5159563734.

The spelling of 212259040 in words is "two hundred twelve million, two hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 189517 379034 758068 947585 1326619 1516136 1895170 2653238 3032272 3790340 5306476 6064544 6633095 7580680 10612952 13266190 15161360 21225904 26532380 30322720 42451808 53064760 106129520 212259040