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2252914398 = 234719313373
BaseRepresentation
bin1000011001001000…
…1011111011011110
312211000020220120000
42012102023323132
514103221230043
61011315435130
7106554312360
oct20622137336
95730226500
102252914398
11a56790a29
1252a5b5aa6
1329b99a457
141752d2d30
15d2bc02d3
hex8648bede

2252914398 has 160 divisors (see below), whose sum is σ = 6270781440. Its totient is φ = 589965120.

The previous prime is 2252914381. The next prime is 2252914439. The reversal of 2252914398 is 8934192522.

2252914398 is a `hidden beast` number, since 2 + 252 + 9 + 1 + 4 + 398 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 666240 + ... + 669612.

It is an arithmetic number, because the mean of its divisors is an integer number (39192384).

Almost surely, 22252914398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252914398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135390720).

2252914398 is an abundant number, since it is smaller than the sum of its proper divisors (4017867042).

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

2252914398 is a wasteful number, since it uses less digits than its factorization.

2252914398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3435 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2252914398 is about 47464.8754132990. The cubic root of 2252914398 is about 1310.9362221486.

The spelling of 2252914398 in words is "two billion, two hundred fifty-two million, nine hundred fourteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 31 38 42 54 57 62 63 81 93 114 126 133 162 171 186 189 217 266 279 342 378 399 434 513 558 567 589 651 798 837 1026 1134 1178 1197 1302 1539 1674 1767 1953 2394 2511 3078 3373 3534 3591 3906 4123 5022 5301 5859 6746 7182 8246 10119 10602 10773 11718 12369 15903 17577 20238 21546 23611 24738 30357 31806 35154 37107 47222 47709 60714 64087 70833 74214 91071 95418 104563 111321 128174 141666 182142 192261 209126 212499 222642 273213 313689 333963 384522 424998 448609 546426 576783 627378 637497 667926 731941 897218 941067 1153566 1274994 1345827 1463882 1730349 1882134 1912491 1986697 2195823 2691654 2823201 3460698 3824982 3973394 4037481 4391646 5191047 5646402 5960091 6587469 8074962 8469603 10382094 11920182 12112443 13174938 13906879 16939206 17880273 19762407 24224886 27813758 35760546 36337329 39524814 41720637 53640819 59287221 72674658 83441274 107281638 118574442 125161911 160922457 250323822 321844914 375485733 750971466 1126457199 2252914398