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1222004320 = 255292231181
BaseRepresentation
bin100100011010110…
…0100111001100000
310011011102020210021
41020311210321200
510000313114240
6321131443224
742165602545
oct11065447140
93134366707
101222004320
11577875a29
122a12b6514
13166229ca4
14b841abcc
157243554a
hex48d64e60

1222004320 has 96 divisors (see below), whose sum is σ = 3002469120. Its totient is φ = 469432320.

The previous prime is 1222004309. The next prime is 1222004321. The reversal of 1222004320 is 234002221.

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 = 1222004294 and 1222004303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222004321) by changing a digit.

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, 1034130 + ... + 1035310.

It is an arithmetic number, because the mean of its divisors is an integer number (31275720).

Almost surely, 21222004320 is an apocalyptic number.

1222004320 is a gapful number since it is divisible by the number (10) 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 1222004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501234560).

1222004320 is an abundant number, since it is smaller than the sum of its proper divisors (1780464800).

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

1222004320 is a wasteful number, since it uses less digits than its factorization.

1222004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1222004320 is about 34957.1783758358. The cubic root of 1222004320 is about 1069.1145672351.

Adding to 1222004320 its reverse (234002221), we get a palindrome (1456006541).

The spelling of 1222004320 in words is "one billion, two hundred twenty-two million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 223 232 290 446 464 580 892 928 1115 1160 1181 1784 2230 2320 2362 3568 4460 4640 4724 5905 6467 7136 8920 9448 11810 12934 17840 18896 23620 25868 32335 34249 35680 37792 47240 51736 64670 68498 94480 103472 129340 136996 171245 188960 206944 258680 263363 273992 342490 517360 526726 547984 684980 1034720 1053452 1095968 1316815 1369960 2106904 2633630 2739920 4213808 5267260 5479840 7637527 8427616 10534520 15275054 21069040 30550108 38187635 42138080 61100216 76375270 122200432 152750540 244400864 305501080 611002160 1222004320