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2229674256 = 243331331503
BaseRepresentation
bin1000010011100110…
…0010000100010000
312202101112012002000
42010321202010100
514031244034011
61005125354000
7106152630015
oct20471420420
95671465060
102229674256
11a446582a7
12522868900
13296c212a4
141721a370c
15d0b2e356
hex84e62110

2229674256 has 160 divisors (see below), whose sum is σ = 6639575040. Its totient is φ = 715651200.

The previous prime is 2229674231. The next prime is 2229674261. The reversal of 2229674256 is 6524769222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4432501 + ... + 4433003.

It is an arithmetic number, because the mean of its divisors is an integer number (41497344).

Almost surely, 22229674256 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 2229674256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319787520).

2229674256 is an abundant number, since it is smaller than the sum of its proper divisors (4409900784).

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

2229674256 is a wasteful number, since it uses less digits than its factorization.

2229674256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2229674256 is about 47219.4266801282. The cubic root of 2229674256 is about 1306.4129391885.

The spelling of 2229674256 in words is "two billion, two hundred twenty-nine million, six hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 331 372 432 496 503 558 662 744 837 993 1006 1116 1324 1488 1509 1674 1986 2012 2232 2648 2979 3018 3348 3972 4024 4464 4527 5296 5958 6036 6696 7944 8048 8937 9054 10261 11916 12072 13392 13581 15593 15888 17874 18108 20522 23832 24144 27162 30783 31186 35748 36216 41044 46779 47664 54324 61566 62372 71496 72432 82088 92349 93558 108648 123132 124744 140337 142992 164176 166493 184698 187116 217296 246264 249488 277047 280674 332986 369396 374232 421011 492528 499479 554094 561348 665972 738792 748464 842022 998958 1108188 1122696 1331944 1477584 1498437 1684044 1997916 2216376 2245392 2663888 2996874 3368088 3995832 4432752 4495311 5161283 5993748 6736176 7991664 8990622 10322566 11987496 15483849 17981244 20645132 23974992 30967698 35962488 41290264 46451547 61935396 71924976 82580528 92903094 123870792 139354641 185806188 247741584 278709282 371612376 557418564 743224752 1114837128 2229674256