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225632937426 = 231337269509571
BaseRepresentation
bin1101001000100011000…
…1010110010111010010
3210120101202011211020020
43102020301112113102
512144044012444201
6251353200524310
722205252216001
oct3221061262722
9716352154206
10225632937426
1187765a02506
1237890020696
131837aa14280
14acc6546c38
155d089bda36
hex3488c565d2

225632937426 has 128 divisors (see below), whose sum is σ = 502831929600. Its totient is φ = 67048197120.

The previous prime is 225632937407. The next prime is 225632937433. The reversal of 225632937426 is 624739236522.

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 63 ways as a sum of consecutive naturals, for example, 395153721 + ... + 395154291.

It is an arithmetic number, because the mean of its divisors is an integer number (3928374450).

Almost surely, 2225632937426 is an apocalyptic number.

225632937426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225632937426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251415964800).

225632937426 is an abundant number, since it is smaller than the sum of its proper divisors (277198992174).

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

225632937426 is a wasteful number, since it uses less digits than its factorization.

225632937426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404.

The product of its digits is 6531840, while the sum is 51.

The spelling of 225632937426 in words is "two hundred twenty-five billion, six hundred thirty-two million, nine hundred thirty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 269 481 509 538 571 807 962 1018 1142 1443 1527 1614 1713 2886 3054 3426 3497 6617 6994 7423 9953 10491 13234 14846 18833 19851 19906 20982 21127 22269 29859 37666 39702 42254 44538 56499 59718 63381 112998 126762 129389 136921 153599 244829 258778 273842 274651 290639 307198 388167 410763 460797 489658 549302 581278 734487 776334 821526 823953 871917 921594 1468974 1647906 1743834 1779973 1996787 3559946 3778307 3993574 5066077 5339919 5683163 5990361 7556614 10132154 10679838 10753643 11334921 11366326 11980722 15198231 17049489 21507286 22669842 30396462 32260929 34098978 64521858 65859001 73881119 78181891 131718002 139797359 147762238 156363782 197577003 221643357 234545673 279594718 395154006 419392077 443286714 469091346 838784154 1016364583 2032729166 2892729967 3049093749 5785459934 6098187498 8678189901 17356379802 37605489571 75210979142 112816468713 225632937426