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226447071400 = 23521129357317
BaseRepresentation
bin1101001011100101001…
…1000001100010101000
3210122111111010010002101
43102321103001202220
512202230422241100
6252010042343144
722234366230304
oct3227123014250
9718444103071
10226447071400
1188043517400
1237a787baab4
131847a5a5554
14ad62710d04
155d551d886a
hex34b94c18a8

226447071400 has 72 divisors (see below), whose sum is σ = 578703331710. Its totient is φ = 82344380800.

The previous prime is 226447071377. The next prime is 226447071401. The reversal of 226447071400 is 4170744622.

It can be written as a sum of positive squares in 3 ways, for example, as 179669167876 + 46777903524 = 423874^2 + 216282^2 .

It is a super-2 number, since 2×2264470714002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226447071400.

It is not an unprimeable number, because it can be changed into a prime (226447071401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4654459 + ... + 4702858.

Almost surely, 2226447071400 is an apocalyptic number.

226447071400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226447071400 is an abundant number, since it is smaller than the sum of its proper divisors (352256260310).

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

226447071400 is a wasteful number, since it uses less digits than its factorization.

226447071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357355 (or 9357335 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 226447071400 in words is "two hundred twenty-six billion, four hundred forty-seven million, seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 9357317 18714634 37429268 46786585 74858536 93573170 102930487 187146340 205860974 233932925 374292680 411721948 467865850 514652435 823443896 935731700 1029304870 1132235357 1871463400 2058609740 2264470714 2573262175 4117219480 4528941428 5146524350 5661176785 9057882856 10293048700 11322353570 20586097400 22644707140 28305883925 45289414280 56611767850 113223535700 226447071400