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22429980 = 2233573569
BaseRepresentation
bin101010110010…
…0000100011100
31120012120011000
41111210010130
521220224410
62120430300
7361436346
oct125440434
946176130
1022429980
111172aa81
127618390
1348544a1
142d9c296
151e80dc0
hex156411c

22429980 has 96 divisors (see below), whose sum is σ = 70862400. Its totient is φ = 5889024.

The previous prime is 22429949. The next prime is 22429999. The reversal of 22429980 is 8992422.

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

It is a congruent number.

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, 39136 + ... + 39704.

It is an arithmetic number, because the mean of its divisors is an integer number (738150).

Almost surely, 222429980 is an apocalyptic number.

22429980 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 22429980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35431200).

22429980 is an abundant number, since it is smaller than the sum of its proper divisors (48432420).

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

22429980 is a wasteful number, since it uses less digits than its factorization.

22429980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 22429980 is about 4736.0299830132. The cubic root of 22429980 is about 282.0176539423.

It can be divided in two parts, 22429 and 980, that added together give a square (23409 = 1532).

The spelling of 22429980 in words is "twenty-two million, four hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 569 657 730 876 1095 1138 1314 1460 1707 1971 2190 2276 2628 2845 3285 3414 3942 4380 5121 5690 6570 6828 7884 8535 9855 10242 11380 13140 15363 17070 19710 20484 25605 30726 34140 39420 41537 51210 61452 76815 83074 102420 124611 153630 166148 207685 249222 307260 373833 415370 498444 623055 747666 830740 1121499 1246110 1495332 1869165 2242998 2492220 3738330 4485996 5607495 7476660 11214990 22429980