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226639504 = 24721337601
BaseRepresentation
bin11011000001000…
…11111010010000
3120210110110221201
431200203322100
5431004431004
634253400544
75421255400
oct1540437220
9523413851
10226639504
11106a28683
1263a99154
1337c53820
1422158800
1514d6c6a4
hexd823e90

226639504 has 120 divisors (see below), whose sum is σ = 565906488. Its totient is φ = 87091200.

The previous prime is 226639487. The next prime is 226639537. The reversal of 226639504 is 405936622.

It can be written as a sum of positive squares in 4 ways, for example, as 74857104 + 151782400 = 8652^2 + 12320^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376804 + ... + 377404.

Almost surely, 2226639504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226639504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282953244).

226639504 is an abundant number, since it is smaller than the sum of its proper divisors (339266984).

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

226639504 is a wasteful number, since it uses less digits than its factorization.

226639504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 226639504 is about 15054.5509398321. The cubic root of 226639504 is about 609.6939286885.

The spelling of 226639504 in words is "two hundred twenty-six million, six hundred thirty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 49 52 56 74 91 98 104 112 148 182 196 208 259 296 364 392 481 518 592 601 637 728 784 962 1036 1202 1274 1456 1813 1924 2072 2404 2548 3367 3626 3848 4144 4207 4808 5096 6734 7252 7696 7813 8414 9616 10192 13468 14504 15626 16828 22237 23569 26936 29008 29449 31252 33656 44474 47138 53872 54691 58898 62504 67312 88948 94276 109382 117796 125008 155659 177896 188552 218764 235592 289081 311318 355792 377104 382837 437528 471184 578162 622636 765674 875056 1089613 1156324 1245272 1531348 2023567 2179226 2312648 2490544 3062696 4047134 4358452 4625296 6125392 8094268 8716904 14164969 16188536 17433808 28329938 32377072 56659876 113319752 226639504