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2233000120 = 2351367107599
BaseRepresentation
bin1000010100011000…
…1110000010111000
312202121210011022011
42011012032002320
514033122000440
61005324535304
7106223121301
oct20506160270
95677704264
102233000120
11a4651a04a
125239b1534
13297817060
141727cb7a8
15d10899ea
hex8518e0b8

2233000120 has 128 divisors (see below), whose sum is σ = 5552064000. Its totient is φ = 803252736.

The previous prime is 2233000117. The next prime is 2233000141. The reversal of 2233000120 is 210003322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2233000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3727581 + ... + 3728179.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 22233000120 is an apocalyptic number.

2233000120 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 2233000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032000).

2233000120 is an abundant number, since it is smaller than the sum of its proper divisors (3319063880).

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

2233000120 is a wasteful number, since it uses less digits than its factorization.

2233000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2233000120 is about 47254.6306725595. The cubic root of 2233000120 is about 1307.0621809895.

Adding to 2233000120 its reverse (210003322), we get a palindrome (2443003442).

The spelling of 2233000120 in words is "two billion, two hundred thirty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 107 130 134 214 260 268 335 428 520 535 536 599 670 856 871 1070 1198 1340 1391 1742 2140 2396 2680 2782 2995 3484 4280 4355 4792 5564 5990 6955 6968 7169 7787 8710 11128 11980 13910 14338 15574 17420 23960 27820 28676 31148 34840 35845 38935 40133 55640 57352 62296 64093 71690 77870 80266 93197 128186 143380 155740 160532 186394 200665 256372 286760 311480 320465 321064 372788 401330 465985 512744 521729 640930 745576 802660 833209 931970 1043458 1281860 1605320 1666418 1863940 2086916 2563720 2608645 3332836 3727880 4166045 4173832 4294231 5217290 6665672 8332090 8588462 10434580 16664180 17176924 20869160 21471155 33328360 34353848 42942310 55825003 85884620 111650006 171769240 223300012 279125015 446600024 558250030 1116500060 2233000120