Search a number
-
+
18022996224 = 283219314051
BaseRepresentation
bin10000110010010000…
…010001100100000000
31201112001110001220200
4100302100101210000
5243402341334344
612140223205200
71205424640332
oct206220214400
951461401820
1018022996224
117709569902
1235aba46800
131912c2270c
14c2d8d5452
157073ec069
hex432411900

18022996224 has 108 divisors (see below), whose sum is σ = 52004486352. Its totient is φ = 6003072000.

The previous prime is 18022996153. The next prime is 18022996261. The reversal of 18022996224 is 42269922081.

18022996224 is a `hidden beast` number, since 18 + 0 + 2 + 2 + 9 + 9 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18022996224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4446999 + ... + 4451049.

Almost surely, 218022996224 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 18022996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26002243176).

18022996224 is an abundant number, since it is smaller than the sum of its proper divisors (33981490128).

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

18022996224 is a wasteful number, since it uses less digits than its factorization.

18022996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18022996224 in words is "eighteen billion, twenty-two million, nine hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1931 2304 3862 4051 5793 7724 8102 11586 12153 15448 16204 17379 23172 24306 30896 32408 34758 36459 46344 48612 61792 64816 69516 72918 92688 97224 123584 129632 139032 145836 185376 194448 247168 259264 278064 291672 370752 388896 494336 518528 556128 583344 741504 777792 1037056 1112256 1166688 1483008 1555584 2224512 2333376 3111168 4449024 4666752 7822481 9333504 15644962 23467443 31289924 46934886 62579848 70402329 93869772 125159696 140804658 187739544 250319392 281609316 375479088 500638784 563218632 750958176 1001277568 1126437264 1501916352 2002555136 2252874528 3003832704 4505749056 6007665408 9011498112 18022996224