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2022414112 = 251719389503
BaseRepresentation
bin111100010001011…
…1001011100100000
312012221112021121101
41320202321130200
513120214222422
6532403204144
7101055144025
oct17042713440
95187467541
102022414112
11948666724
12485376654
13262cc4554
1415285154c
15bc83dc27
hex788b9720

2022414112 has 96 divisors (see below), whose sum is σ = 4457980800. Its totient is φ = 897527808.

The previous prime is 2022414103. The next prime is 2022414113. The reversal of 2022414112 is 2114142202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2022414112.

It is not an unprimeable number, because it can be changed into a prime (2022414113) 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, 4020453 + ... + 4020955.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 22022414112 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 2022414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).

2022414112 is an abundant number, since it is smaller than the sum of its proper divisors (2435566688).

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

2022414112 is a wasteful number, since it uses less digits than its factorization.

2022414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2022414112 is about 44971.2587326617. The cubic root of 2022414112 is about 1264.6102445100.

Adding to 2022414112 its reverse (2114142202), we get a palindrome (4136556314).

The spelling of 2022414112 in words is "two billion, twenty-two million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 389 503 544 608 646 778 1006 1292 1556 2012 2584 3112 4024 5168 6224 6613 7391 8048 8551 9557 10336 12448 13226 14782 16096 17102 19114 26452 29564 34204 38228 52904 59128 68408 76456 105808 118256 125647 136816 152912 162469 195667 211616 236512 251294 273632 305824 324938 391334 502588 649876 782668 1005176 1299752 1565336 2010352 2599504 3130672 3326339 3717673 4020704 5199008 6261344 6652678 7435346 13305356 14870692 26610712 29741384 53221424 59482768 63200441 106442848 118965536 126400882 252801764 505603528 1011207056 2022414112