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226457103136 = 251110149112973
BaseRepresentation
bin1101001011100111100…
…1010010101100100000
3210122112011222210001011
43102321321102230200
512202241004300021
6252011041350304
722234550421325
oct3227171225440
9718464883034
10226457103136
11880491493a0
1237a80038394
131847c6a86a4
14ad63ba2b4c
155d5601ade1
hex34b9e52b20

226457103136 has 96 divisors (see below), whose sum is σ = 492221935296. Its totient is φ = 101700480000.

The previous prime is 226457103113. The next prime is 226457103149. The reversal of 226457103136 is 631301754622.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17449546 + ... + 17462518.

It is an arithmetic number, because the mean of its divisors is an integer number (5127311826).

Almost surely, 2226457103136 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 226457103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246110967648).

226457103136 is an abundant number, since it is smaller than the sum of its proper divisors (265764832160).

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

226457103136 is a wasteful number, since it uses less digits than its factorization.

226457103136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13586 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

Adding to 226457103136 its reverse (631301754622), we get a palindrome (857758857758).

The spelling of 226457103136 in words is "two hundred twenty-six billion, four hundred fifty-seven million, one hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 491 808 982 1111 1616 1964 2222 3232 3928 4444 5401 7856 8888 10802 12973 15712 17776 21604 25946 35552 43208 49591 51892 86416 99182 103784 142703 172832 198364 207568 285406 396728 415136 545501 570812 793456 1091002 1141624 1310273 1586912 2182004 2283248 2620546 4364008 4566496 5241092 6369743 8728016 10482184 12739486 14413003 17456032 20964368 25478972 28826006 41928736 50957944 57652012 70067173 101915888 115304024 140134346 203831776 230608048 280268692 461216096 560537384 643344043 1121074768 1286688086 2242149536 2573376172 5146752344 7076784473 10293504688 14153568946 20587009376 28307137892 56614275784 113228551568 226457103136