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212022794740 = 225192359940499
BaseRepresentation
bin1100010101110110001…
…0110001100111110100
3202021021020021221100111
43011131202301213310
511433210313412430
6241222452152404
721214060006501
oct3053542614764
9667236257314
10212022794740
1181a113818a9
1235112008704
1316cbc1051c3
14a394b544a8
1557adbe8c2a
hex315d8b19f4

212022794740 has 96 divisors (see below), whose sum is σ = 489888000000. Its totient is φ = 76722003072.

The previous prime is 212022794723. The next prime is 212022794747. The reversal of 212022794740 is 47497220212.

212022794740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212022794693 and 212022794702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022794747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5215011 + ... + 5255509.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000000).

Almost surely, 2212022794740 is an apocalyptic number.

212022794740 is a gapful number since it is divisible by the number (20) 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 212022794740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000000).

212022794740 is an abundant number, since it is smaller than the sum of its proper divisors (277865205260).

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

212022794740 is a wasteful number, since it uses less digits than its factorization.

212022794740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41149 (or 41147 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 212022794740 in words is "two hundred twelve billion, twenty-two million, seven hundred ninety-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 599 874 1198 1748 2185 2396 2995 4370 5990 8740 11381 11980 13777 22762 27554 40499 45524 55108 56905 68885 80998 113810 137770 161996 202495 227620 261763 275540 404990 523526 769481 809980 931477 1047052 1308815 1538962 1862954 2617630 3077924 3725908 3847405 4657385 5235260 7694810 9314770 15389620 17698063 18629540 24258901 35396126 48517802 70792252 88490315 97035604 121294505 176980630 242589010 353961260 460919119 485178020 557954723 921838238 1115909446 1843676476 2231818892 2304595595 2789773615 4609191190 5579547230 9218382380 10601139737 11159094460 21202279474 42404558948 53005698685 106011397370 212022794740