Search a number
-
+
4280226342 = 237319110889
BaseRepresentation
bin1111111100011111…
…0001001000100110
3102001022000000201120
43333013301020212
532231214220332
61544420034410
7211032216000
oct37707611046
912038000646
104280226342
1118a7092447
129b5532a06
135329b8112
142c865b370
151a0b7a32c
hexff1f1226

4280226342 has 64 divisors (see below), whose sum is σ = 10036224000. Its totient is φ = 1216407360.

The previous prime is 4280226329. The next prime is 4280226347. The reversal of 4280226342 is 2436220824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280226347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387634 + ... + 398522.

It is an arithmetic number, because the mean of its divisors is an integer number (156816000).

Almost surely, 24280226342 is an apocalyptic number.

4280226342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4280226342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018112000).

4280226342 is an abundant number, since it is smaller than the sum of its proper divisors (5755997658).

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

4280226342 is a wasteful number, since it uses less digits than its factorization.

4280226342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11106 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4280226342 is about 65423.4387815254. The cubic root of 4280226342 is about 1623.6368961298.

The spelling of 4280226342 in words is "four billion, two hundred eighty million, two hundred twenty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 191 294 343 382 573 686 1029 1146 1337 2058 2674 4011 8022 9359 10889 18718 21778 28077 32667 56154 65334 65513 76223 131026 152446 196539 228669 393078 457338 533561 1067122 1600683 2079799 3201366 3734927 4159598 6239397 7469854 11204781 12478794 14558593 22409562 29117186 43675779 87351558 101910151 203820302 305730453 611460906 713371057 1426742114 2140113171 4280226342