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1228825626 = 23733831559
BaseRepresentation
bin100100100111110…
…0110010000011010
310011122020210212020
41021033212100122
510004034410001
6321533555310
742310563000
oct11117462032
93148223766
101228825626
11580704976
122a3645b36
13167777a72
14b92b4a70
1572d31736
hex493e641a

1228825626 has 64 divisors (see below), whose sum is σ = 2875392000. Its totient is φ = 349951728.

The previous prime is 1228825621. The next prime is 1228825639. The reversal of 1228825626 is 6265288221.

It is a super-2 number, since 2×12288256262 = 3020024838228583752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1228825621) 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, 787435 + ... + 788993.

It is an arithmetic number, because the mean of its divisors is an integer number (44928000).

Almost surely, 21228825626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228825626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437696000).

1228825626 is an abundant number, since it is smaller than the sum of its proper divisors (1646566374).

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

1228825626 is a wasteful number, since it uses less digits than its factorization.

1228825626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1954 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 1228825626 is about 35054.6091976505. The cubic root of 1228825626 is about 1071.1001657780.

The spelling of 1228825626 in words is "one billion, two hundred twenty-eight million, eight hundred twenty-five thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 383 686 766 1029 1149 1559 2058 2298 2681 3118 4677 5362 8043 9354 10913 16086 18767 21826 32739 37534 56301 65478 76391 112602 131369 152782 229173 262738 394107 458346 534737 597097 788214 1069474 1194194 1604211 1791291 3208422 3582582 4179679 8359358 12539037 25078074 29257753 58515506 87773259 175546518 204804271 409608542 614412813 1228825626