Search a number
-
+
55924220 = 225111719787
BaseRepresentation
bin1101010101010…
…1010111111100
310220020020121102
43111111113330
5103304033340
65314352232
71246230242
oct325252774
9126206542
1055924220
1129627770
121688b678
13b780a71
1475da792
154d9a215
hex35555fc

55924220 has 96 divisors (see below), whose sum is σ = 142974720. Its totient is φ = 18109440.

The previous prime is 55924213. The next prime is 55924229. The reversal of 55924220 is 2242955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55924229) 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, 70667 + ... + 71453.

It is an arithmetic number, because the mean of its divisors is an integer number (1489320).

Almost surely, 255924220 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 55924220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71487360).

55924220 is an abundant number, since it is smaller than the sum of its proper divisors (87050500).

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

55924220 is a wasteful number, since it uses less digits than its factorization.

55924220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 55924220 is about 7478.2497952395. The cubic root of 55924220 is about 382.4135849326.

It can be divided in two parts, 55924 and 220, that multiplied together give a triangular number (12303280 = T4960).

The spelling of 55924220 in words is "fifty-five million, nine hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 787 836 935 1045 1292 1574 1615 1870 2090 3148 3230 3553 3740 3935 4180 6460 7106 7870 8657 13379 14212 14953 15740 17314 17765 26758 29906 34628 35530 43285 53516 59812 66895 71060 74765 86570 133790 147169 149530 164483 173140 254201 267580 294338 299060 328966 508402 588676 657932 735845 822415 1016804 1271005 1471690 1644830 2542010 2796211 2943380 3289660 5084020 5592422 11184844 13981055 27962110 55924220