Search a number
-
+
22845420 = 22325132751
BaseRepresentation
bin101011100100…
…1011111101100
31120222200000200
41113021133230
521322023140
62133353500
7365116503
oct127113754
946880020
1022845420
1111994114
127798890
13496b600
14306983a
152014030
hex15c97ec

22845420 has 108 divisors (see below), whose sum is σ = 75138336. Its totient is φ = 5616000.

The previous prime is 22845413. The next prime is 22845437. The reversal of 22845420 is 2454822.

It is a happy number.

22845420 is a nontrivial binomial coefficient, being equal to C(6760, 2).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30045 + ... + 30795.

Almost surely, 222845420 is an apocalyptic number.

22845420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22845420 is the 6759-th triangular number and also the 3380-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22845420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37569168).

22845420 is an abundant number, since it is smaller than the sum of its proper divisors (52292916).

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

22845420 is a wasteful number, since it uses less digits than its factorization.

22845420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 22845420 is about 4779.6882743543. The cubic root of 22845420 is about 283.7481566894.

The spelling of 22845420 in words is "twenty-two million, eight hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 751 780 845 1014 1170 1502 1521 1690 2028 2253 2340 2535 3004 3042 3380 3755 4506 5070 6084 6759 7510 7605 9012 9763 10140 11265 13518 15020 15210 19526 22530 27036 29289 30420 33795 39052 45060 48815 58578 67590 87867 97630 117156 126919 135180 146445 175734 195260 253838 292890 351468 380757 439335 507676 585780 634595 761514 878670 1142271 1269190 1523028 1757340 1903785 2284542 2538380 3807570 4569084 5711355 7615140 11422710 22845420