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2025370208 = 251719292233
BaseRepresentation
bin111100010111000…
…1011001001100000
312020011002110121102
41320232023021200
513121443321313
6532550413532
7101122235261
oct17056131140
95204073542
102025370208
1194a2a5684
124863612a8
132637bac14
14152dc0968
15bcc24a58
hex78b8b260

2025370208 has 144 divisors (see below), whose sum is σ = 4622501520. Its totient is φ = 868073472.

The previous prime is 2025370187. The next prime is 2025370229. The reversal of 2025370208 is 8020735202.

It is an interprime number because it is at equal distance from previous prime (2025370187) and next prime (2025370229).

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 8692460 + ... + 8692692.

It is an arithmetic number, because the mean of its divisors is an integer number (32100705).

Almost surely, 22025370208 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 2025370208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311250760).

2025370208 is an abundant number, since it is smaller than the sum of its proper divisors (2597131312).

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

2025370208 is a wasteful number, since it uses less digits than its factorization.

2025370208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2025370208 is about 45004.1132342367. The cubic root of 2025370208 is about 1265.2260909141.

The spelling of 2025370208 in words is "two billion, twenty-five million, three hundred seventy thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 19 29 32 34 38 58 68 76 116 136 152 232 233 272 304 323 464 466 493 544 551 608 646 841 928 932 986 1102 1292 1682 1864 1972 2204 2584 3364 3728 3944 3961 4408 4427 5168 6728 6757 7456 7888 7922 8816 8854 9367 10336 13456 13514 14297 15776 15844 15979 17632 17708 18734 26912 27028 28594 31688 31958 35416 37468 54056 57188 63376 63916 70832 74936 75259 108112 114376 114869 126752 127832 128383 141664 149872 150518 195953 216224 228752 229738 255664 256766 271643 299744 301036 391906 457504 459476 511328 513532 543286 602072 783812 918952 1027064 1086572 1204144 1567624 1837904 2054128 2173144 2182511 2408288 3135248 3331201 3675808 3723107 4108256 4346288 4365022 6270496 6662402 7446214 8692576 8730044 13324804 14892428 17460088 26649608 29784856 34920176 53299216 59569712 63292819 69840352 106598432 119139424 126585638 253171276 506342552 1012685104 2025370208