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117222400 = 2105219241
BaseRepresentation
bin1101111110010…
…10110000000000
322011120111220101
412333022300000
5220002104100
615344252144
72622242161
oct677126000
9264514811
10117222400
1160194a19
1233311054
131b393889
14117d5768
15a45786a
hex6fcac00

117222400 has 132 divisors (see below), whose sum is σ = 307131880. Its totient is φ = 44236800.

The previous prime is 117222389. The next prime is 117222407. The reversal of 117222400 is 4222711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (117222407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486280 + ... + 486520.

Almost surely, 2117222400 is an apocalyptic number.

117222400 is a gapful number since it is divisible by the number (10) 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 117222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153565940).

117222400 is an abundant number, since it is smaller than the sum of its proper divisors (189909480).

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

117222400 is a wasteful number, since it uses less digits than its factorization.

117222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 117222400 is about 10826.9293892590. The cubic root of 117222400 is about 489.4070294820.

The spelling of 117222400 in words is "one hundred seventeen million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 241 256 304 320 380 400 475 482 512 608 640 760 800 950 964 1024 1205 1216 1280 1520 1600 1900 1928 2410 2432 2560 3040 3200 3800 3856 4579 4820 4864 5120 6025 6080 6400 7600 7712 9158 9640 9728 12050 12160 12800 15200 15424 18316 19280 19456 22895 24100 24320 25600 30400 30848 36632 38560 45790 48200 48640 60800 61696 73264 77120 91580 96400 97280 114475 121600 123392 146528 154240 183160 192800 228950 243200 246784 293056 308480 366320 385600 457900 486400 586112 616960 732640 771200 915800 1172224 1233920 1465280 1542400 1831600 2344448 2930560 3084800 3663200 4688896 5861120 6169600 7326400 11722240 14652800 23444480 29305600 58611200 117222400