Search a number
-
+
221136425604 = 2232314729314389
BaseRepresentation
bin1100110111110011000…
…0100001001010000100
3210010210101012100121100
43031330300201022010
512110341411104404
6245331053020100
721655652414043
oct3157460411204
9703711170540
10221136425604
1185868824636
1236a36184630
1317b1228c3a3
14a9bb2a855a
155b43d6dd39
hex337cc21284

221136425604 has 144 divisors (see below), whose sum is σ = 591344732160. Its totient is φ = 69573461760.

The previous prime is 221136425591. The next prime is 221136425621. The reversal of 221136425604 is 406524631122.

221136425604 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 6 + 42 + 5 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15361242 + ... + 15375630.

It is an arithmetic number, because the mean of its divisors is an integer number (4106560640).

Almost surely, 2221136425604 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 221136425604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295672366080).

221136425604 is an abundant number, since it is smaller than the sum of its proper divisors (370208306556).

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

221136425604 is a wasteful number, since it uses less digits than its factorization.

221136425604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14770 (or 14765 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 221136425604 in words is "two hundred twenty-one billion, one hundred thirty-six million, four hundred twenty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 293 372 423 558 564 586 846 879 1116 1172 1457 1692 1758 2637 2914 3516 4371 5274 5828 8742 9083 10548 13113 13771 14389 17484 18166 26226 27249 27542 28778 36332 41313 43167 52452 54498 55084 57556 81747 82626 86334 108996 123939 129501 163494 165252 172668 247878 259002 326988 426901 446059 495756 518004 676283 853802 892118 1280703 1338177 1352566 1707604 1784236 2028849 2561406 2676354 2705132 3842109 4014531 4057698 4215977 5122812 5352708 6086547 7684218 8029062 8115396 8431954 12173094 12647931 15368436 16058124 16863908 20964773 24346188 25295862 37943793 41929546 50591724 62894319 75887586 83859092 125788638 130695287 151775172 188682957 198150919 251577276 261390574 377365914 392085861 396301838 522781148 594452757 754731828 784171722 792603676 1176257583 1188905514 1568343444 1783358271 2352515166 2377811028 3566716542 4705030332 6142678489 7133433084 12285356978 18428035467 24570713956 36856070934 55284106401 73712141868 110568212802 221136425604