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226972662000 = 243537431091153
BaseRepresentation
bin1101001101100010011…
…1111111100011110000
3210200212010002212211220
43103120213333203300
512204320000141000
6252134135505040
722253410536360
oct3233047774360
9720763085756
10226972662000
11882931723a7
1237ba4828180
131853244a5c6
14adb24489a0
155d864091a0
hex34d89ff8f0

226972662000 has 640 divisors, whose sum is σ = 864345630720. Its totient is φ = 50164531200.

The previous prime is 226972661999. The next prime is 226972662017. The reversal of 226972662000 is 266279622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196853424 + ... + 196854576.

It is an arithmetic number, because the mean of its divisors is an integer number (1350540048).

Almost surely, 2226972662000 is an apocalyptic number.

226972662000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226972662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432172815360).

226972662000 is an abundant number, since it is smaller than the sum of its proper divisors (637372968720).

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

226972662000 is a wasteful number, since it uses less digits than its factorization.

226972662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 226972662000 in words is "two hundred twenty-six billion, nine hundred seventy-two million, six hundred sixty-two thousand".