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2022972732 = 22341117173193
BaseRepresentation
bin111100010010100…
…0001110100111100
312012222120122220000
41320211001310330
513120340111412
6532423154300
7101062661454
oct17045016474
95188518800
102022972732
11948a083a0
124855a5990
1326315b8b1
14152958d64
15bc8ee4dc
hex78941d3c

2022972732 has 240 divisors, whose sum is σ = 6175727712. Its totient is φ = 570654720.

The previous prime is 2022972701. The next prime is 2022972739. The reversal of 2022972732 is 2372792202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022972739) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10481628 + ... + 10481820.

Almost surely, 22022972732 is an apocalyptic number.

2022972732 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 2022972732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087863856).

2022972732 is an abundant number, since it is smaller than the sum of its proper divisors (4152754980).

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

2022972732 is a wasteful number, since it uses less digits than its factorization.

2022972732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2022972732 is about 44977.4691595692. The cubic root of 2022972732 is about 1264.7266683321.

The spelling of 2022972732 in words is "two billion, twenty-two million, nine hundred seventy-two thousand, seven hundred thirty-two".