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211201940 = 22513777081
BaseRepresentation
bin11001001011010…
…10111110010100
3112201102011121002
430211222332110
5413031430230
632542442432
75143121045
oct1445527624
9481364532
10211201940
11a9244164
125a893418
13349a9c81
142009a8cc
151381d545
hexc96af94

211201940 has 24 divisors (see below), whose sum is σ = 446767272. Its totient is φ = 83863040.

The previous prime is 211201933. The next prime is 211201943. The reversal of 211201940 is 49102112.

It can be written as a sum of positive squares in 4 ways, for example, as 30514576 + 180687364 = 5524^2 + 13442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201943) 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, 35801 + ... + 41280.

It is an arithmetic number, because the mean of its divisors is an integer number (18615303).

Almost surely, 2211201940 is an apocalyptic number.

211201940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201940 is an abundant number, since it is smaller than the sum of its proper divisors (235565332).

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

211201940 is a wasteful number, since it uses less digits than its factorization.

211201940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77227 (or 77225 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 211201940 is about 14532.7884454429. The cubic root of 211201940 is about 595.5240445868.

The spelling of 211201940 in words is "two hundred eleven million, two hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 77081 154162 308324 385405 770810 1541620 10560097 21120194 42240388 52800485 105600970 211201940