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2283539440 = 2457131811733
BaseRepresentation
bin1000100000011100…
…0000101111110000
312220010212211012211
42020013000233300
514134041230230
61014332101504
7110405523250
oct21007005760
95803784184
102283539440
11a71aa8a86
12538904894
132a5130a90
141793c5960
15d571e42a
hex881c0bf0

2283539440 has 160 divisors (see below), whose sum is σ = 6574329216. Its totient is φ = 718295040.

The previous prime is 2283539411. The next prime is 2283539443. The reversal of 2283539440 is 449353822.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2283539393 and 2283539402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283539443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316814 + ... + 1318546.

Almost surely, 22283539440 is an apocalyptic number.

2283539440 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 2283539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287164608).

2283539440 is an abundant number, since it is smaller than the sum of its proper divisors (4290789776).

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

2283539440 is a wasteful number, since it uses less digits than its factorization.

2283539440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 2283539440 is about 47786.3938794297. The cubic root of 2283539440 is about 1316.8495882874.

The spelling of 2283539440 in words is "two billion, two hundred eighty-three million, five hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 181 182 208 260 280 362 364 455 520 560 724 728 905 910 1040 1267 1448 1456 1733 1810 1820 2353 2534 2896 3466 3620 3640 4706 5068 6335 6932 7240 7280 8665 9412 10136 11765 12131 12670 13864 14480 16471 17330 18824 20272 22529 23530 24262 25340 27728 32942 34660 37648 45058 47060 48524 50680 60655 65884 69320 82355 90116 94120 97048 101360 112645 121310 131768 138640 157703 164710 180232 188240 194096 225290 242620 263536 313673 315406 329420 360464 450580 485240 627346 630812 658840 788515 901160 970480 1254692 1261624 1317680 1568365 1577030 1802320 2195711 2509384 2523248 3136730 3154060 4077749 4391422 5018768 6273460 6308120 8155498 8782844 10978555 12546920 12616240 16310996 17565688 20388745 21957110 25093840 28544243 32621992 35131376 40777490 43914220 57088486 65243984 81554980 87828440 114176972 142721215 163109960 175656880 228353944 285442430 326219920 456707888 570884860 1141769720 2283539440