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226454970 = 235721271213
BaseRepresentation
bin11010111111101…
…10110110111010
3120210010002211010
431133312312322
5430433024340
634245414350
75416556400
oct1537666672
9523102733
10226454970
11106911a75
1263a0a3b6
1337bba831
142210b470
1514d32b80
hexd7f6dba

226454970 has 96 divisors (see below), whose sum is σ = 637728768. Its totient is φ = 51311232.

The previous prime is 226454957. The next prime is 226454971. The reversal of 226454970 is 79454622.

It is not an unprimeable number, because it can be changed into a prime (226454971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186084 + ... + 187296.

It is an arithmetic number, because the mean of its divisors is an integer number (6643008).

Almost surely, 2226454970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226454970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318864384).

226454970 is an abundant number, since it is smaller than the sum of its proper divisors (411273798).

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

226454970 is a wasteful number, since it uses less digits than its factorization.

226454970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 226454970 is about 15048.4208473846. The cubic root of 226454970 is about 609.5284091343.

The spelling of 226454970 in words is "two hundred twenty-six million, four hundred fifty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 127 147 210 245 254 294 381 490 635 735 762 889 1213 1270 1470 1778 1905 2426 2667 3639 3810 4445 5334 6065 6223 7278 8491 8890 12130 12446 13335 16982 18195 18669 25473 26670 31115 36390 37338 42455 50946 59437 62230 84910 93345 118874 127365 154051 178311 186690 254730 297185 308102 356622 462153 594370 770255 891555 924306 1078357 1540510 1783110 2156714 2310765 3235071 4621530 5391785 6470142 7548499 10783570 15096998 16175355 22645497 32350710 37742495 45290994 75484990 113227485 226454970