Search a number
-
+
2250747432 = 2333231792531
BaseRepresentation
bin1000011000100111…
…1010111000101000
312210212011211001000
42012021322320220
514102142404212
61011201155000
7106530015603
oct20611727050
95725154030
102250747432
11a5554094a
1252992ba60
1329b3bc01b
14174ccb33a
15d28e31dc
hex8627ae28

2250747432 has 128 divisors (see below), whose sum is σ = 6562944000. Its totient is φ = 713338560.

The previous prime is 2250747403. The next prime is 2250747463. The reversal of 2250747432 is 2347470522.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888007 + ... + 890537.

It is an arithmetic number, because the mean of its divisors is an integer number (51273000).

Almost surely, 22250747432 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 2250747432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281472000).

2250747432 is an abundant number, since it is smaller than the sum of its proper divisors (4312196568).

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

2250747432 is a wasteful number, since it uses less digits than its factorization.

2250747432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2250747432 is about 47442.0428733839. The cubic root of 2250747432 is about 1310.5157792615.

The spelling of 2250747432 in words is "two billion, two hundred fifty million, seven hundred forty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 179 184 207 216 276 358 414 537 552 621 716 828 1074 1242 1432 1611 1656 2148 2484 2531 3222 4117 4296 4833 4968 5062 6444 7593 8234 9666 10124 12351 12888 15186 16468 19332 20248 22779 24702 30372 32936 37053 38664 45558 49404 58213 60744 68337 74106 91116 98808 111159 116426 136674 148212 174639 182232 222318 232852 273348 296424 349278 444636 453049 465704 523917 546696 698556 889272 906098 1047834 1359147 1397112 1571751 1812196 2095668 2718294 3143502 3624392 4077441 4191336 5436588 6287004 8154882 10420127 10873176 12232323 12574008 16309764 20840254 24464646 31260381 32619528 41680508 48929292 62520762 83361016 93781143 97858584 125041524 187562286 250083048 281343429 375124572 562686858 750249144 1125373716 2250747432