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226457404240 = 24521182316301
BaseRepresentation
bin1101001011100111101…
…0011100001101010000
3210122112012120002002011
43102321322130031100
512202241043413430
6252011052032304
722234553114224
oct3227172341520
9718465502064
10226457404240
1188049334641
1237a80162694
131847c782762
14ad63c40784
155d5607a22a
hex34b9e9c350

226457404240 has 80 divisors (see below), whose sum is σ = 529684062336. Its totient is φ = 90038592000.

The previous prime is 226457404237. The next prime is 226457404241. The reversal of 226457404240 is 42404754622.

226457404240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 226457404193 and 226457404202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226457404241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13884090 + ... + 13900390.

Almost surely, 2226457404240 is an apocalyptic number.

226457404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226457404240 is an abundant number, since it is smaller than the sum of its proper divisors (303226658096).

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

226457404240 is a wasteful number, since it uses less digits than its factorization.

226457404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 40.

The spelling of 226457404240 in words is "two hundred twenty-six billion, four hundred fifty-seven million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 211 422 823 844 1055 1646 1688 2110 3292 3376 4115 4220 6584 8230 8440 13168 16301 16460 16880 32602 32920 65204 65840 81505 130408 163010 173653 260816 326020 347306 652040 694612 868265 1304080 1389224 1736530 2778448 3439511 3473060 6879022 6946120 13415723 13758044 13892240 17197555 26831446 27516088 34395110 53662892 55032176 67078615 68790220 107325784 134157230 137580440 214651568 268314460 275160880 536628920 1073257840 2830717553 5661435106 11322870212 14153587765 22645740424 28307175530 45291480848 56614351060 113228702120 226457404240