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242252502400 = 2752174453171
BaseRepresentation
bin1110000110011101011…
…1111101010110000000
3212011021222211012101201
43201213113331112000
512432113120034100
6303142251510544
723334146203126
oct3414727752600
9764258735351
10242252502400
1193814249677
123ab49a58454
1319ac8c5649c
14ba218b5916
15647ca9936a
hex38675fd580

242252502400 has 96 divisors (see below), whose sum is σ = 633641843880. Its totient is φ = 91200921600.

The previous prime is 242252502377. The next prime is 242252502469. The reversal of 242252502400 is 4205252242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2172186 + ... + 2280985.

Almost surely, 2242252502400 is an apocalyptic number.

242252502400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242252502400 is an abundant number, since it is smaller than the sum of its proper divisors (391389341480).

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

242252502400 is a wasteful number, since it uses less digits than its factorization.

242252502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453212 (or 4453195 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 242252502400 its reverse (4205252242), we get a palindrome (246457754642).

The spelling of 242252502400 in words is "two hundred forty-two billion, two hundred fifty-two million, five hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 4453171 8906342 17812684 22265855 35625368 44531710 71250736 75703907 89063420 111329275 142501472 151407814 178126840 222658550 285002944 302815628 356253680 378519535 445317100 570005888 605631256 712507360 757039070 890634200 1211262512 1425014720 1514078140 1781268400 1892597675 2422525024 2850029440 3028156280 3562536800 3785195350 4845050048 6056312560 7125073600 7570390700 9690100096 12112625120 14250147200 15140781400 24225250240 30281562800 48450500480 60563125600 121126251200 242252502400