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2235016920 = 233531219381
BaseRepresentation
bin1000010100110111…
…1010011011011000
312202202120121211110
42011031322123120
514034131020140
61005440100320
7106246221213
oct20515723330
95682517743
102235016920
11a47677324
125246046a0
13298072026
14172b9477a
15d1337380
hex8537a6d8

2235016920 has 96 divisors (see below), whose sum is σ = 6928677360. Its totient is φ = 576748800.

The previous prime is 2235016913. The next prime is 2235016939. The reversal of 2235016920 is 296105322.

2235016920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105630 + ... + 125010.

Almost surely, 22235016920 is an apocalyptic number.

2235016920 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 2235016920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464338680).

2235016920 is an abundant number, since it is smaller than the sum of its proper divisors (4693660440).

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

2235016920 is a wasteful number, since it uses less digits than its factorization.

2235016920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19457 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2235016920 is about 47275.9655639100. The cubic root of 2235016920 is about 1307.4555665163.

The spelling of 2235016920 in words is "two billion, two hundred thirty-five million, sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 961 1240 1860 1922 2883 3720 3844 4805 5766 7688 9610 11532 14415 19220 19381 23064 28830 38440 38762 57660 58143 77524 96905 115320 116286 155048 193810 232572 290715 387620 465144 581430 600811 775240 1162860 1201622 1802433 2325720 2403244 3004055 3604866 4806488 6008110 7209732 9012165 12016220 14419464 18024330 18625141 24032440 36048660 37250282 55875423 72097320 74500564 93125705 111750846 149001128 186251410 223501692 279377115 372502820 447003384 558754230 745005640 1117508460 2235016920