Search a number
-
+
40223220100 = 225271031134937
BaseRepresentation
bin100101011101011111…
…011010000110000100
310211211020002021220121
4211131133122012010
51124334121020400
630251151111324
72622524505160
oct453537320604
9124736067817
1040223220100
1116070a60668
127966812544
133a403a986b
141d380b5ca0
1510a63cb21a
hex95d7da184

40223220100 has 144 divisors (see below), whose sum is σ = 101633995008. Its totient is φ = 13533327360.

The previous prime is 40223220097. The next prime is 40223220151. The reversal of 40223220100 is 102232204.

40223220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8144832 + ... + 8149768.

It is an arithmetic number, because the mean of its divisors is an integer number (705791632).

Almost surely, 240223220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40223220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50816997504).

40223220100 is an abundant number, since it is smaller than the sum of its proper divisors (61410774908).

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

40223220100 is a wasteful number, since it uses less digits than its factorization.

40223220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5167 counting only the distinct ones).

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

Adding to 40223220100 its reverse (102232204), we get a palindrome (40325452304).

The spelling of 40223220100 in words is "forty billion, two hundred twenty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 113 140 175 206 226 350 412 452 515 565 700 721 791 1030 1130 1442 1582 2060 2260 2575 2825 2884 3164 3605 3955 4937 5150 5650 7210 7910 9874 10300 11300 11639 14420 15820 18025 19748 19775 23278 24685 34559 36050 39550 46556 49370 58195 69118 72100 79100 81473 98740 116390 123425 138236 162946 172795 232780 246850 290975 325892 345590 407365 493700 508511 557881 581950 691180 814730 863975 1017022 1115762 1163900 1629460 1727950 2034044 2036825 2231524 2542555 2789405 3455900 3559577 3905167 4073650 5085110 5578810 7119154 7810334 8147300 10170220 11157620 12712775 13947025 14238308 15620668 17797885 19525835 25425550 27894050 35595770 39051670 50851100 55788100 57461743 71191540 78103340 88989425 97629175 114923486 177978850 195258350 229846972 287308715 355957700 390516700 402232201 574617430 804464402 1149234860 1436543575 1608928804 2011161005 2873087150 4022322010 5746174300 8044644020 10055805025 20111610050 40223220100