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226002416460 = 223523241173669
BaseRepresentation
bin1101001001111011001…
…0110011001101001100
3210121100111102022011220
43102132302303031030
512200323104311320
6251454000043340
722220356562232
oct3223662631514
9717314368156
10226002416460
1187935521587
1237973903550
131840942a712
14ad1d644952
155d2b153e40
hex349ecb334c

226002416460 has 144 divisors (see below), whose sum is σ = 677654782560. Its totient is φ = 56240645120.

The previous prime is 226002416347. The next prime is 226002416477. The reversal of 226002416460 is 64614200622.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214506 + ... + 1388174.

It is an arithmetic number, because the mean of its divisors is an integer number (4705935990).

Almost surely, 2226002416460 is an apocalyptic number.

226002416460 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 226002416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338827391280).

226002416460 is an abundant number, since it is smaller than the sum of its proper divisors (451652366100).

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

226002416460 is a wasteful number, since it uses less digits than its factorization.

226002416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173768 (or 173743 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 226002416460 in words is "two hundred twenty-six billion, two million, four hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 529 615 690 820 943 1058 1230 1380 1587 1886 2116 2460 2645 2829 3174 3772 4715 5290 5658 6348 7935 9430 10580 11316 14145 15870 18860 21689 28290 31740 43378 56580 65067 86756 108445 130134 173669 216890 260268 325335 347338 433780 521007 650670 694676 868345 1042014 1301340 1736690 2084028 2605035 3473380 3994387 5210070 7120429 7988774 10420140 11983161 14240858 15977548 19971935 21361287 23966322 28481716 35602145 39943870 42722574 47932644 59915805 71204290 79887740 85445148 91870901 106806435 119831610 142408580 163769867 183741802 213612870 239663220 275612703 327539734 367483604 427225740 459354505 491309601 551225406 655079468 818849335 918709010 982619202 1102450812 1378063515 1637698670 1837418020 1965238404 2456548005 2756127030 3275397340 3766706941 4913096010 5512254060 7533413882 9826192020 11300120823 15066827764 18833534705 22600241646 37667069410 45200483292 56500604115 75334138820 113001208230 226002416460