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2022220272 = 243316122279
BaseRepresentation
bin111100010001000…
…1010000111110000
312012221011102201010
41320202022013300
513120142022042
6532355110520
7101053405632
oct17042120760
95187142633
102022220272
11948544026
124852a2440
13262c57257
14152800a52
15bc80159c
hex7888a1f0

2022220272 has 80 divisors (see below), whose sum is σ = 5481236480. Its totient is φ = 641606400.

The previous prime is 2022220243. The next prime is 2022220273. The reversal of 2022220272 is 2720222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022220273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79629 + ... + 101907.

It is an arithmetic number, because the mean of its divisors is an integer number (68515456).

Almost surely, 22022220272 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 2022220272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740618240).

2022220272 is an abundant number, since it is smaller than the sum of its proper divisors (3459016208).

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

2022220272 is a wasteful number, since it uses less digits than its factorization.

2022220272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22382 (or 22376 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2022220272 is about 44969.1035267549. The cubic root of 2022220272 is about 1264.5698406712.

Adding to 2022220272 its reverse (2720222202), we get a palindrome (4742442474).

The spelling of 2022220272 in words is "two billion, twenty-two million, two hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 976 1464 1488 1891 2928 3782 5673 7564 11346 15128 22279 22692 30256 44558 45384 66837 89116 90768 133674 178232 267348 356464 534696 690649 1069392 1359019 1381298 2071947 2718038 2762596 4077057 4143894 5436076 5525192 8154114 8287788 10872152 11050384 16308228 16575576 21744304 32616456 33151152 42129589 65232912 84259178 126388767 168518356 252777534 337036712 505555068 674073424 1011110136 2022220272