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2232101000 = 235319294051
BaseRepresentation
bin1000010100001011…
…0010100010001000
312202120002110221102
42011002302202020
514032404213000
61005253400532
7106212355043
oct20502624210
95676073842
102232101000
11a45a65578
12523639148
13297590a2c
14172635c5a
15d0e5d3d5
hex850b2888

2232101000 has 128 divisors (see below), whose sum is σ = 5689008000. Its totient is φ = 816480000.

The previous prime is 2232100979. The next prime is 2232101041. The reversal of 2232101000 is 1012322.

It is a happy number.

It is a super-3 number, since 3×22321010003 (a number of 29 digits) contains 333 as substring.

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, 548975 + ... + 553025.

It is an arithmetic number, because the mean of its divisors is an integer number (44445375).

Almost surely, 22232101000 is an apocalyptic number.

2232101000 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 2232101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844504000).

2232101000 is an abundant number, since it is smaller than the sum of its proper divisors (3456907000).

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

2232101000 is a wasteful number, since it uses less digits than its factorization.

2232101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2232101000 is about 47245.1161497144. The cubic root of 2232101000 is about 1306.8867274213.

Adding to 2232101000 its reverse (1012322), we get a palindrome (2233113322).

The spelling of 2232101000 in words is "two billion, two hundred thirty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 125 145 152 190 200 232 250 290 380 475 500 551 580 725 760 950 1000 1102 1160 1450 1900 2204 2375 2755 2900 3625 3800 4051 4408 4750 5510 5800 7250 8102 9500 11020 13775 14500 16204 19000 20255 22040 27550 29000 32408 40510 55100 68875 76969 81020 101275 110200 117479 137750 153938 162040 202550 234958 275500 307876 384845 405100 469916 506375 551000 587395 615752 769690 810200 939832 1012750 1174790 1539380 1924225 2025500 2232101 2349580 2936975 3078760 3848450 4051000 4464202 4699160 5873950 7696900 8928404 9621125 11160505 11747900 14684875 15393800 17856808 19242250 22321010 23495800 29369750 38484500 44642020 55802525 58739500 76969000 89284040 111605050 117479000 223210100 279012625 446420200 558025250 1116050500 2232101000