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212022781872 = 243113789197619
BaseRepresentation
bin1100010101110110001…
…0101110011110110000
3202021021020021021200220
43011131202232132300
511433210313004442
6241222452013040
721214056624126
oct3053542563660
9667236237626
10212022781872
1181a11373170
1235112001180
1316cbc0cc3a5
14a394b4d916
1557adbe4eec
hex315d8ae7b0

212022781872 has 320 divisors, whose sum is σ = 624720729600. Its totient is φ = 61397360640.

The previous prime is 212022781871. The next prime is 212022781951. The reversal of 212022781872 is 278187220212.

It is not an unprimeable number, because it can be changed into a prime (212022781871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342524379 + ... + 342524997.

It is an arithmetic number, because the mean of its divisors is an integer number (1952252280).

Almost surely, 2212022781872 is an apocalyptic number.

212022781872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022781872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312360364800).

212022781872 is an abundant number, since it is smaller than the sum of its proper divisors (412697947728).

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

212022781872 is a wasteful number, since it uses less digits than its factorization.

212022781872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 212022781872 in words is "two hundred twelve billion, twenty-two million, seven hundred eighty-one thousand, eight hundred seventy-two".