Search a number
-
+
9974224120 = 235735622229
BaseRepresentation
bin10010100101000001…
…01001010011111000
3221202010021002021011
421102200221103320
5130411400132440
64325422123304
7502112335420
oct112240512370
927663232234
109974224120
11425920a233
121b24420534
13c2c564083
146a8973480
153d59ba9ea
hex2528294f8

9974224120 has 32 divisors (see below), whose sum is σ = 25648005600. Its totient is φ = 3419733888.

The previous prime is 9974224109. The next prime is 9974224123. The reversal of 9974224120 is 214224799.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9974224123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17810835 + ... + 17811394.

It is an arithmetic number, because the mean of its divisors is an integer number (801500175).

Almost surely, 29974224120 is an apocalyptic number.

It is an amenable number.

9974224120 is an abundant number, since it is smaller than the sum of its proper divisors (15673781480).

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

9974224120 is a wasteful number, since it uses less digits than its factorization.

9974224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35622247 (or 35622243 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 9974224120 is about 99871.0374432948. The cubic root of 9974224120 is about 2152.5820156406.

The spelling of 9974224120 in words is "nine billion, nine hundred seventy-four million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 35622229 71244458 142488916 178111145 249355603 284977832 356222290 498711206 712444580 997422412 1246778015 1424889160 1994844824 2493556030 4987112060 9974224120