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2422021120 = 21054191129
BaseRepresentation
bin1001000001011101…
…0001110000000000
320020210110102100221
42100113101300000
514430014133440
61040200152424
7114006561031
oct22027216000
96223412327
102422021120
111033193352
12577168714
132c7a28cbc
1418d952a88
15e2975d4a
hex905d1c00

2422021120 has 88 divisors (see below), whose sum is σ = 5829037200. Its totient is φ = 965640192.

The previous prime is 2422021117. The next prime is 2422021163. The reversal of 2422021120 is 211202242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2422021094 and 2422021103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144716 + ... + 2145844.

Almost surely, 22422021120 is an apocalyptic number.

2422021120 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 2422021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914518600).

2422021120 is an abundant number, since it is smaller than the sum of its proper divisors (3407016080).

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

2422021120 is a wasteful number, since it uses less digits than its factorization.

2422021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2422021120 is about 49214.0337708666. The cubic root of 2422021120 is about 1342.9483458718.

Adding to 2422021120 its reverse (211202242), we get a palindrome (2633223362).

The spelling of 2422021120 in words is "two billion, four hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 419 512 640 838 1024 1129 1280 1676 2095 2258 2560 3352 4190 4516 5120 5645 6704 8380 9032 11290 13408 16760 18064 22580 26816 33520 36128 45160 53632 67040 72256 90320 107264 134080 144512 180640 214528 268160 289024 361280 429056 473051 536320 578048 722560 946102 1072640 1156096 1445120 1892204 2145280 2365255 2890240 3784408 4730510 5780480 7568816 9461020 15137632 18922040 30275264 37844080 60550528 75688160 121101056 151376320 242202112 302752640 484404224 605505280 1211010560 2422021120