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223664469980 = 225725912893001
BaseRepresentation
bin1101000001001101110…
…0001111011111011100
3210101022120011022112112
43100103130033133130
512131031101014410
6250430001453152
722105420424600
oct3202334173734
9711276138475
10223664469980
1186945842806
12374209411b8
1318125c5a633
14ab7ad39500
155c40c89105
hex341370f7dc

223664469980 has 144 divisors (see below), whose sum is σ = 556257391200. Its totient is φ = 75301632000.

The previous prime is 223664469937. The next prime is 223664470021. The reversal of 223664469980 is 89964466322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74528480 + ... + 74531480.

It is an arithmetic number, because the mean of its divisors is an integer number (3862898550).

Almost surely, 2223664469980 is an apocalyptic number.

223664469980 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 223664469980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278128695600).

223664469980 is an abundant number, since it is smaller than the sum of its proper divisors (332592921220).

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

223664469980 is a wasteful number, since it uses less digits than its factorization.

223664469980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 223664469980 in words is "two hundred twenty-three billion, six hundred sixty-four million, four hundred sixty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 826 980 1180 1289 1652 2065 2578 2891 3001 4130 5156 5782 6002 6445 8260 9023 11564 12004 12890 14455 15005 18046 21007 25780 28910 30010 36092 42014 45115 57820 60020 63161 76051 84028 90230 105035 126322 147049 152102 177059 180460 210070 252644 294098 304204 315805 354118 380255 420140 532357 588196 631610 708236 735245 760510 885295 1064714 1239413 1263220 1470490 1521020 1770590 2129428 2478826 2661785 2940980 3541180 3726499 3868289 4957652 5323570 6197065 7452998 7736578 8675891 10647140 12394130 14905996 15473156 17351782 18632495 19341445 24788260 27078023 34703564 37264990 38682890 43379455 54156046 74529980 77365780 86758910 108312092 135390115 173517820 189546161 228229051 270780230 379092322 456458102 541560460 758184644 912916204 947730805 1141145255 1597603357 1895461610 2282290510 3195206714 3790923220 4564581020 6390413428 7988016785 11183223499 15976033570 22366446998 31952067140 44732893996 55916117495 111832234990 223664469980