Search a number
-
+
223325152120 = 235710116747287
BaseRepresentation
bin1100111111111100110…
…1110110001101111000
3210100102220200011221101
43033333031312031320
512124332214331440
6250332201021144
722064130320650
oct3177715661570
9710386604841
10223325152120
1186791254224
12373471847b4
13180a0874635
14ab47c4d360
155c210b069a
hex33ff376378

223325152120 has 128 divisors (see below), whose sum is σ = 583435560960. Its totient is φ = 75354969600.

The previous prime is 223325152117. The next prime is 223325152121. The reversal of 223325152120 is 21251523322.

It is a super-2 number, since 2×2233251521202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223325152121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699117 + ... + 4746403.

It is an arithmetic number, because the mean of its divisors is an integer number (4558090320).

Almost surely, 2223325152120 is an apocalyptic number.

223325152120 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 223325152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291717780480).

223325152120 is an abundant number, since it is smaller than the sum of its proper divisors (360110408840).

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

223325152120 is a wasteful number, since it uses less digits than its factorization.

223325152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47573 (or 47569 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 223325152120 its reverse (21251523322), we get a palindrome (244576675442).

The spelling of 223325152120 in words is "two hundred twenty-three billion, three hundred twenty-five million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 167 202 280 334 404 505 668 707 808 835 1010 1169 1336 1414 1670 2020 2338 2828 3340 3535 4040 4676 5656 5845 6680 7070 9352 11690 14140 16867 23380 28280 33734 46760 47287 67468 84335 94574 118069 134936 168670 189148 236138 236435 331009 337340 378296 472276 472870 590345 662018 674680 944552 945740 1180690 1324036 1655045 1891480 2361380 2648072 3310090 4722760 4775987 6620180 7896929 9551974 13240360 15793858 19103948 23879935 31587716 33431909 38207896 39484645 47759870 55278503 63175432 66863818 78969290 95519740 110557006 133727636 157938580 167159545 191039480 221114012 267455272 276392515 315877160 334319090 442228024 552785030 668638180 797589829 1105570060 1337276360 1595179658 2211140120 3190359316 3987949145 5583128803 6380718632 7975898290 11166257606 15951796580 22332515212 27915644015 31903593160 44665030424 55831288030 111662576060 223325152120