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212149036 = 221129533137
BaseRepresentation
bin11001010010100…
…10001100101100
3112210012021202201
430221102030230
5413302232121
633015031244
75154144211
oct1451221454
9483167681
10212149036
11a9830790
125b06b524
1334c4c098
1420265b08
1513958e91
hexca5232c

212149036 has 48 divisors (see below), whose sum is σ = 427019040. Its totient is φ = 91320320.

The previous prime is 212149019. The next prime is 212149039. The reversal of 212149036 is 630941212.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 212148995 and 212149013.

It is not an unprimeable number, because it can be changed into a prime (212149039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66060 + ... + 69196.

It is an arithmetic number, because the mean of its divisors is an integer number (8896230).

Almost surely, 2212149036 is an apocalyptic number.

212149036 is the 7786-th centered heptagonal number.

It is an amenable number.

212149036 is an abundant number, since it is smaller than the sum of its proper divisors (214870004).

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

212149036 is a wasteful number, since it uses less digits than its factorization.

212149036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 212149036 is about 14565.3367966553. The cubic root of 212149036 is about 596.4128897301.

The spelling of 212149036 in words is "two hundred twelve million, one hundred forty-nine thousand, thirty-six".

Divisors: 1 2 4 11 22 29 44 53 58 106 116 212 319 583 638 1166 1276 1537 2332 3074 3137 6148 6274 12548 16907 33814 34507 67628 69014 90973 138028 166261 181946 332522 363892 665044 1000703 1828871 2001406 3657742 4002812 4821569 7315484 9643138 19286276 53037259 106074518 212149036