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2021416212 = 22317179197281
BaseRepresentation
bin111100001111100…
…0101110100010100
312012212122120202010
41320133011310110
513114440304322
6532325544220
7101043516504
oct17037056424
95185576663
102021416212
11948044a12
12484b75070
13262a3528a
14152671a04
15bc6e320c
hex787c5d14

2021416212 has 96 divisors (see below), whose sum is σ = 5065441920. Its totient is φ = 625192960.

The previous prime is 2021416193. The next prime is 2021416223. The reversal of 2021416212 is 2126141202.

It is a super-2 number, since 2×20214162122 = 8172247004272857888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7193512 + ... + 7193792.

It is an arithmetic number, because the mean of its divisors is an integer number (52765020).

Almost surely, 22021416212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021416212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532720960).

2021416212 is an abundant number, since it is smaller than the sum of its proper divisors (3044025708).

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

2021416212 is a wasteful number, since it uses less digits than its factorization.

2021416212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2021416212 is about 44960.1624997063. The cubic root of 2021416212 is about 1264.4022155394.

Adding to 2021416212 its reverse (2126141202), we get a palindrome (4147557414).

The spelling of 2021416212 in words is "two billion, twenty-one million, four hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 179 197 204 281 358 394 537 562 591 716 788 843 1074 1124 1182 1686 2148 2364 3043 3349 3372 4777 6086 6698 9129 9554 10047 12172 13396 14331 18258 19108 20094 28662 35263 36516 40188 50299 55357 57324 70526 100598 105789 110714 141052 150897 166071 201196 211578 221428 301794 332142 423156 599471 603588 664284 855083 941069 1198942 1710166 1798413 1882138 2397884 2565249 2823207 3420332 3596826 3764276 5130498 5646414 7193652 9908903 10260996 11292828 19817806 29726709 39635612 59453418 118906836 168451351 336902702 505354053 673805404 1010708106 2021416212