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2220231311320 = 2351131223161611
BaseRepresentation
bin100000010011110000000…
…110010011111111011000
321212020210201220122012011
4200103300012103333120
5242334013203430240
64415543222155304
7316256254523011
oct40236006237730
97766721818164
102220231311320
1178665a76a690
122ba366b82b34
131314a0159279
147966186a008
153cb4765e6ea
hex204f0193fd8

2220231311320 has 64 divisors (see below), whose sum is σ = 5449866935040. Its totient is φ = 807325987200.

The previous prime is 2220231311303. The next prime is 2220231311329. The reversal of 2220231311320 is 231131320222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2220231311291 and 2220231311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220231311329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13657315 + ... + 13818925.

It is an arithmetic number, because the mean of its divisors is an integer number (85154170860).

Almost surely, 22220231311320 is an apocalyptic number.

2220231311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220231311320 is an abundant number, since it is smaller than the sum of its proper divisors (3229635623720).

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

2220231311320 is a wasteful number, since it uses less digits than its factorization.

2220231311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192856 (or 192852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2220231311320 its reverse (231131320222), we get a palindrome (2451362631542).

The spelling of 2220231311320 in words is "two trillion, two hundred twenty billion, two hundred thirty-one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 31223 62446 124892 156115 161611 249784 312230 323222 343453 624460 646444 686906 808055 1248920 1292888 1373812 1616110 1717265 1777721 2747624 3232220 3434530 3555442 6464440 6869060 7110884 8888605 13738120 14221768 17777210 35554420 71108840 5045980253 10091960506 20183921012 25229901265 40367842024 50459802530 55505782783 100919605060 111011565566 201839210120 222023131132 277528913915 444046262264 555057827830 1110115655660 2220231311320