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223941386480 = 24575933120477
BaseRepresentation
bin1101000010001111110…
…0100110000011110000
3210102000212020010120012
43100203330212003300
512132112443331410
6250513253034052
722115322243410
oct3204374460360
9712025203505
10223941386480
1186a78090219
1237499625928
131816b435656
14aba5a20640
155c5a238605
hex3423f260f0

223941386480 has 160 divisors (see below), whose sum is σ = 606987578880. Its totient is φ = 75246842880.

The previous prime is 223941386477. The next prime is 223941386491. The reversal of 223941386480 is 84683149322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10926002 + ... + 10946478.

It is an arithmetic number, because the mean of its divisors is an integer number (3793672368).

Almost surely, 2223941386480 is an apocalyptic number.

223941386480 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 223941386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303493789440).

223941386480 is an abundant number, since it is smaller than the sum of its proper divisors (383046192400).

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

223941386480 is a wasteful number, since it uses less digits than its factorization.

223941386480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20887 (or 20881 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 223941386480 in words is "two hundred twenty-three billion, nine hundred forty-one million, three hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 331 413 472 560 590 662 826 944 1180 1324 1652 1655 2065 2317 2360 2648 3304 3310 4130 4634 4720 5296 6608 6620 8260 9268 11585 13240 16520 18536 19529 20477 23170 26480 33040 37072 39058 40954 46340 78116 81908 92680 97645 102385 136703 143339 156232 163816 185360 195290 204770 273406 286678 312464 327632 390580 409540 546812 573356 683515 716695 781160 819080 1093624 1146712 1208143 1367030 1433390 1562320 1638160 2187248 2293424 2416286 2734060 2866780 4832572 5468120 5733560 6040715 6777887 8457001 9665144 10936240 11467120 12081430 13555774 16914002 19330288 24162860 27111548 33828004 33889435 42285005 47445209 48325720 54223096 67656008 67778870 84570010 94890418 96651440 108446192 135312016 135557740 169140020 189780836 237226045 271115480 338280040 379561672 399895333 474452090 542230960 676560080 759123344 799790666 948904180 1599581332 1897808360 1999476665 2799267331 3199162664 3795616720 3998953330 5598534662 6398325328 7997906660 11197069324 13996336655 15995813320 22394138648 27992673310 31991626640 44788277296 55985346620 111970693240 223941386480