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2222925920 = 25573832293
BaseRepresentation
bin1000010001111111…
…0010100001100000
312201220211100002122
42010133302201200
514023032112140
61004325003412
7106041362405
oct20437624140
95656740078
102222925920
11a40869166
12520553568
132956ca7a7
141713282ac
15d0249ab5
hex847f2860

2222925920 has 96 divisors (see below), whose sum is σ = 5390092512. Its totient is φ = 866045952.

The previous prime is 2222925917. The next prime is 2222925977. The reversal of 2222925920 is 295292222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968294 + ... + 970586.

It is an arithmetic number, because the mean of its divisors is an integer number (56146797).

Almost surely, 22222925920 is an apocalyptic number.

2222925920 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 2222925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695046256).

2222925920 is an abundant number, since it is smaller than the sum of its proper divisors (3167166592).

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

2222925920 is a wasteful number, since it uses less digits than its factorization.

2222925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2222925920 is about 47147.9153303728. The cubic root of 2222925920 is about 1305.0936100356.

The spelling of 2222925920 in words is "two billion, two hundred twenty-two million, nine hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 83 146 160 166 292 332 365 415 584 664 730 830 1168 1328 1460 1660 2293 2336 2656 2920 3320 4586 5840 6059 6640 9172 11465 11680 12118 13280 18344 22930 24236 30295 36688 45860 48472 60590 73376 91720 96944 121180 167389 183440 190319 193888 242360 334778 366880 380638 484720 669556 761276 836945 951595 969440 1339112 1522552 1673890 1903190 2678224 3045104 3347780 3806380 5356448 6090208 6695560 7612760 13391120 13893287 15225520 26782240 27786574 30451040 55573148 69466435 111146296 138932870 222292592 277865740 444585184 555731480 1111462960 2222925920