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2092220832 = 253137921221
BaseRepresentation
bin111110010110100…
…1100000110100000
312101210212211102110
41330231030012200
513241102031312
6543335315320
7102563404122
oct17455140640
95353784373
102092220832
11984005529
124a481bb40
132745c60c0
1415bc23212
15c3a2c43c
hex7cb4c1a0

2092220832 has 96 divisors (see below), whose sum is σ = 5989697280. Its totient is φ = 635581440.

The previous prime is 2092220831. The next prime is 2092220843. The reversal of 2092220832 is 2380222902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2092220832.

It is not an unprimeable number, because it can be changed into a prime (2092220831) 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, 87982 + ... + 109202.

It is an arithmetic number, because the mean of its divisors is an integer number (62392680).

Almost surely, 22092220832 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 2092220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994848640).

2092220832 is an abundant number, since it is smaller than the sum of its proper divisors (3897476448).

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

2092220832 is a wasteful number, since it uses less digits than its factorization.

2092220832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21326 (or 21318 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2092220832 is about 45740.8005176997. The cubic root of 2092220832 is about 1278.9959639389.

The spelling of 2092220832 in words is "two billion, ninety-two million, two hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 624 632 948 1027 1248 1264 1896 2054 2528 3081 3792 4108 6162 7584 8216 12324 16432 21221 24648 32864 42442 49296 63663 84884 98592 127326 169768 254652 275873 339536 509304 551746 679072 827619 1018608 1103492 1655238 1676459 2037216 2206984 3310476 3352918 4413968 5029377 6620952 6705836 8827936 10058754 13241904 13411672 20117508 21793967 26483808 26823344 40235016 43587934 53646688 65381901 80470032 87175868 130763802 160940064 174351736 261527604 348703472 523055208 697406944 1046110416 2092220832