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2235230040 = 233517264453
BaseRepresentation
bin1000010100111010…
…1110011101011000
312202202222110011210
42011032232131120
514034204330130
61005444423120
7106251066441
oct20516563530
95682873153
102235230040
11a4780245a
125246a7aa0
13298118034
14172c0c2c8
15d137a5b0
hex853ae758

2235230040 has 96 divisors (see below), whose sum is σ = 7123456080. Its totient is φ = 560990208.

The previous prime is 2235230027. The next prime is 2235230059. The reversal of 2235230040 is 400325322.

2235230040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2235229989 and 2235230016.

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, 2454 + ... + 66906.

Almost surely, 22235230040 is an apocalyptic number.

2235230040 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 2235230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561728040).

2235230040 is an abundant number, since it is smaller than the sum of its proper divisors (4888226040).

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

2235230040 is a wasteful number, since it uses less digits than its factorization.

2235230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64501 (or 64480 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2235230040 is about 47278.2195096220. The cubic root of 2235230040 is about 1307.4971226632.

Adding to 2235230040 its reverse (400325322), we get a palindrome (2635555362).

The spelling of 2235230040 in words is "two billion, two hundred thirty-five million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 64453 128906 193359 257812 322265 386718 515624 644530 773436 966795 1095701 1289060 1546872 1933590 2191402 2578120 3287103 3867180 4382804 5478505 6574206 7734360 8765608 10957010 13148412 16435515 18626917 21914020 26296824 32871030 37253834 43828040 55880751 65742060 74507668 93134585 111761502 131484120 149015336 186269170 223523004 279403755 372538340 447046008 558807510 745076680 1117615020 2235230040